{"id":32335,"date":"2023-07-26T09:12:15","date_gmt":"2023-07-26T09:12:15","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32335"},"modified":"2023-07-26T09:24:44","modified_gmt":"2023-07-26T09:24:44","slug":"how-to-calculate-percent-difference-definition-formula-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference","title":{"rendered":"How to Calculate Percent Difference &#8211; Definition, Formula, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-f84f4581-08d1-4f07-8115-7b313d62c836\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#0-what-is-the-percent-difference-in-math>What Is the Percent Difference in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#1-what-is-the-percent-difference-formula>What Is the Percent Difference Formula?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#4-percent-difference-vs-percent-change>Percent Difference vs. Percent Change<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#7-solved-examples-on-percent-difference>Solved Examples on Percent Difference<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#8-practice-problems-on-percent-difference>Practice Problems on Percent Difference<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference#9-frequently-asked-questions-on-percent-difference>Frequently Asked Questions on Percent Difference<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-percent-difference-in-math\">What Is the Percent Difference in Math?<\/h2>\n\n\n\n<p>Percent difference is the ratio of the absolute difference between two values to the average of the two values, calculated as a percentage.&nbsp;<\/p>\n\n\n\n<p>Percent Difference $= \\frac{Absolute&nbsp;\\; Difference}{Average} \\times 100$&nbsp;<\/p>\n\n\n\n<p>In simple words, the percent difference is the percentage of the relative difference. The relative difference between two quantities compares the difference between the two values in relation to their average.&nbsp;<\/p>\n\n\n\n<p>Relative Difference $= \\frac{Absolute&nbsp;\\; Difference}{Average}$<\/p>\n\n\n\n<p>The percent difference is frequently used when comparing data sets or estimating the degree of change between two numbers.<\/p>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-796daa9d-3029-471d-84a4-71cc1871f13b\">\n\n\n<p>Note that the \u201cpercent difference\u201d and the \u201cpercent change\u201d are two different concepts. We will compare them later in the article. Also, do not confuse this formula with the percent decrease or increase formulas.<\/p>\n\n\n<\/div>\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/calculate-the-difference-between-amounts-of-money\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/measurement_sub_word_prob_2_pt.png\" alt=\"Calculate the Difference Between Amounts of Money Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Calculate the Difference Between Amounts of Money Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-correct-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/rec_add_sub_facts_find_missing_difference_6_pt.png\" alt=\"Choose the Correct Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Correct Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/cross-out-fractions-to-find-the-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_sub_models_pt.png\" alt=\"Cross Out Fractions to Find the Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Cross Out Fractions to Find the Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/cross-out-parts-to-find-the-difference-between-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_sub_greater_than_1_models_pt.png\" alt=\"Cross out Parts to Find the Difference Between Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Cross out Parts to Find the Difference Between Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/cross-out-to-find-the-difference-between-a-mixed-number-and-a-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_sub_mixed_num_models_pt.png\" alt=\"Cross Out to FInd the Difference Between a Mixed Number and a Fraction Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Cross Out to FInd the Difference Between a Mixed Number and a Fraction Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-correct-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/rec_add_sub_facts_find_missing_difference_9_pt.png\" alt=\"Determine the Correct Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Correct Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-difference-and-match\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/rec_add_sub_facts_mix_match_differences_7_pt.png\" alt=\"Determine the Difference and Match Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Difference and Match Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/rec_add_sub_facts_find_missing_difference_3_pt.png\" alt=\"Determine the Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-difference-to-match\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/rec_add_sub_facts_mix_match_differences_8_pt.png\" alt=\"Determine the Difference to Match Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Difference to Match Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/estimate-the-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/dec_add_sub_estimate_diff_pt.png\" alt=\"Estimate the Difference Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Estimate the Difference Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-what-is-the-percent-difference-formula\">What Is the Percent Difference Formula?<\/h2>\n\n\n\n<p>The percentage difference is the ratio of the difference in their values to their average, multiplied by 100.<\/p>\n\n\n\n<p>Percent difference formula for the two values A and B can be given as&nbsp;<\/p>\n\n\n\n<p>Percent difference $= \\frac{A &#8211; B}{ \\frac{(A + B)}{2}} \\times 100$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"318\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/percent-difference-formula.png\" alt=\"Percent difference formula\" class=\"wp-image-32341\" title=\"Percent difference formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/percent-difference-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/percent-difference-formula-300x154.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/difference-between-mixed-number-and-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/difference-between-mixed-number-and-fraction.jpeg\" alt=\"Difference Between Mixed Number and Fraction Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/difference-of-mixed-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/difference-of-mixed-numbers.jpeg\" alt=\"Difference of Mixed Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/difference-of-unlike-fractions-and-mixed-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/difference-of-unlike-fractions-and-mixed-numbers.jpeg\" alt=\"Difference of Unlike Fractions and Mixed Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/difference-of-unlike-mixed-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/difference-of-unlike-mixed-numbers.jpeg\" alt=\"Difference of Unlike Mixed Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/estimate-the-sum-or-the-difference\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/estimate-the-sum-or-the-difference.jpeg\" alt=\"Estimate the Sum or the Difference Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-100\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-100.jpeg\" alt=\"Even Difference in Subtraction Expressions Within 100\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-20\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-20.jpeg\" alt=\"Even Difference in Subtraction Expressions Within 20\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-50\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/even-difference-in-subtraction-expressions-within-50.jpeg\" alt=\"Even Difference in Subtraction Expressions Within 50\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-the-difference-by-making-10\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-the-difference-by-making-10.jpeg\" alt=\"Find the Difference by Making 10 Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-the-difference-of-two-3-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-the-difference-of-two-3-digit-numbers.jpeg\" alt=\"Find the Difference of Two 3-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-find-percent-difference\">How to Find Percent Difference<\/h2>\n\n\n\n<p>Follow the steps given below to learn how to calculate the percent difference between two values A and B.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Find the absolute difference.&nbsp;<\/p>\n\n\n\n<p>Find the absolute value of the difference between A and B. The order does not matter since we will be taking the absolute value.<\/p>\n\n\n\n<p>Absolute Difference $= |A \\;-\\; B|$<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Find the average of A and B. Simply add the values together and divide the sum by 2.&nbsp;<\/p>\n\n\n\n<p>Average $= \\frac{(A + B)}{2}$<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Divide the absolute difference by the average and multiply by 100 in order to calculate the percent difference.&nbsp;<\/p>\n\n\n\n<p>Percent Difference $= \\frac{Absolute \\; Difference}{Average} \\times 100$<\/p>\n\n\n\n<p>Percent difference $= \\frac{|A \\;-\\; B|}{ \\frac{(A + B)}{2}} \\times 100$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-percent-difference-between-two-numbers\">Percent Difference between Two Numbers<\/h2>\n\n\n\n<p>The percent difference between the two numbers is expressed as follows:<\/p>\n\n\n\n<p>Percent Difference $= \\frac{|A &#8211; B|}{ \\frac{(A + B)}{2}} \\times 100$<\/p>\n\n\n\n<p><strong>Example: Alex has 10 years of working experience. Paxton has 20 years of working experience. What is the percent difference?<\/strong><\/p>\n\n\n\n<p>Here, $A = 10, B = 20$<\/p>\n\n\n\n<p>Note that these values represent the working experience of Alex and Paxton in years.<\/p>\n\n\n\n<p>Can you decide which value is more important here? No, both values hold the same importance!<\/p>\n\n\n\n<p>In such cases, we can use the percent difference formula.&nbsp;<\/p>\n\n\n\n<p>We choose the average value as the reference point. We take absolute difference to treat both values equally. So, the order does not matter when you subtract.<\/p>\n\n\n\n<p>$|A \\;-\\; B| = |10 \\;-\\; 20| = | \\;-\\;10| = 10$<\/p>\n\n\n\n<p>$\\frac{(A + B)}{2} = \\frac{10 + 20}{2} = 15$<\/p>\n\n\n\n<p>Percent Difference $= \\frac{|A &#8211; B|}{\\frac{(A + B)}{2}} \\times 100$<\/p>\n\n\n\n<p>Percent Difference $= \\frac{10}{15} \\times 100$<\/p>\n\n\n\n<p>Percent Difference $\u2248 66.67\\%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-percent-difference-vs-percent-change\">Percent Difference vs. Percent Change<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Percent Difference<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Percent Change<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Percent Difference $= \\frac{|A &#8211; B|}{\\frac{(A + B)}{2}}100$<\/td><td class=\"has-text-align-left\" data-align=\"left\">Percent Change $= \\frac{(Final \\;Value\\; -\\; Initial \\;Value)}{Initial \\;Value} \\times 100$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">It is calculated by taking the absolute difference between the two values, dividing it by the average of the two values, and multiplying by 100.<\/td><td class=\"has-text-align-left\" data-align=\"left\">It is calculated by taking the absolute change, dividing it by the initial value, and multiplying by 100.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Reference point is the average of two values.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Reference point is the initial value.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">We ignore the minus sign as we take the absolute value of the difference.&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">If the value is positive, it means there is an increase. If the value comes out to be negative, it indicates a decrease.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-percent-difference\">Facts about Percent Difference<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The context of the data being analyzed should be regarded when interpreting percent differences.&nbsp;<\/li>\n\n\n\n<li>The percent difference just measures the relative difference between two values and does not reveal the pattern or direction of change. It does not distinguish between positive and negative changes.<\/li>\n\n\n\n<li>When there is an old value and a new value, we should use the percentage change formula.<\/li>\n\n\n\n<li>When there is an approximate value and an exact value, we should use the percentage error formula.<\/li>\n\n\n\n<li>When both the values have equal importance or when it is not possible to determine the reference value, we use the percent difference formula.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>You know the percent difference, definition, concept, formula, etc. Let\u2019s move toward the numerical section of a percent difference, including solved examples and MCQs, for a clearer understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-percent-difference\">Solved Examples on Percent Difference<\/h2>\n\n\n\n<p><strong>1. Mr. Dunphy\u2019s garden has 78 rose plants. Mr. Prichet\u2019s garden has 106 rose plants. Find the percent difference.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Firstly, we will calculate the difference between the two numbers.<\/p>\n\n\n\n<p>Difference $= 78\\;-\\;106 = \\;-\\; 28$<\/p>\n\n\n\n<p>We can remove the negative sign by giving the absolute value of the difference.<\/p>\n\n\n\n<p>Absolute Difference $= |Difference| = |\\;-\\;28| = 28$<\/p>\n\n\n\n<p>Average $= \\frac{78 + 106}{2} = \\frac{184}{2} = 92$<\/p>\n\n\n\n<p>Now, find the percentage difference.<\/p>\n\n\n\n<p>Percentage Difference $= (\\frac{Absolute \\;Difference}{Average}) \\times 100$<\/p>\n\n\n\n<p>Percentage Difference $= \\frac{28}{92} \\times 100$<\/p>\n\n\n\n<p>Percentage Difference $\u2248 30.43\\%$<\/p>\n\n\n\n<p><strong>2. In a video game tournament, Team A scored 980 and Team B scored 1220 points. What is the percentage difference between the scores?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>On calculating the difference between the two scores, we get<\/p>\n\n\n\n<p>Difference $=$ Score of Team B &#8211; Score of Team A $= 1220\\;-\\;980 = 240$<\/p>\n\n\n\n<p>Absolute difference $= | 240 | = 240$<\/p>\n\n\n\n<p>Average $= \\frac{1220 + 980}{2} = 1100$<\/p>\n\n\n\n<p>Now, we can calculate the percentage difference between the teams&#8217; scores.<\/p>\n\n\n\n<p>Percentage Difference $= (\\frac{Difference}{Average})\\times100$<\/p>\n\n\n\n<p>Percentage Difference $= (\\frac{240}{1100}) \\times 100$<\/p>\n\n\n\n<p>Percentage Difference $\u2248 21.81\\%$<\/p>\n\n\n\n<p><strong>3. What is the percentage difference between 7.2 and 8.5?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Here, we have to calculate the difference between two numbers.<\/p>\n\n\n\n<p>Difference $= 7.2 \\;-\\; 8.5 = \\;-\\; 1.3$<\/p>\n\n\n\n<p>We will remove the negative sign by taking the absolute value of the difference.<\/p>\n\n\n\n<p>Absolute Difference $= |Difference| = |\\;-\\;1.3| = 1.3$<\/p>\n\n\n\n<p>Now, you can calculate the percentage difference.<\/p>\n\n\n\n<p>Average $= \\frac{7.2 + 8.5}{2} = 7.85$<\/p>\n\n\n\n<p>Percentage Difference $= (\\frac{Absolute \\;Difference}{Average}) \\times 100$<\/p>\n\n\n\n<p>Percentage Difference $= (\\frac{1.3}{7.85}) \\times 100$<\/p>\n\n\n\n<p>Percentage Difference $\u2248 16.56\\%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-percent-difference\">Practice Problems on Percent Difference<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">How to Calculate Percent Difference - Definition, Formula, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The population of two cities A and B is 50,000 and 55,000 respectively. What is the percentage difference?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$5\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$5.8\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$920\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$9.52\\%$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $9.52\\%$<br\/>Population difference $= 55,000 \\;-\\; 50,000 = 5,000$<br>\r\nAverage $= \\frac{(50,000 + 55,000)}{2} = 52,500$<br>\r\nPercent difference $= \\frac{5,000}{52,500} \\times 100 \u2248 9.52\\%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The weight of an object A is 200 grams. The weight of object B is 180 grams. What is the percent difference?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$8\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$10\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$14\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$25\\%$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $10\\%$<br\/>Percent Difference $= \\frac{|Weight \\;difference|}{(Average\\; weight)} \\times 100$<br>\r\nPercent Difference $= (\\frac{20}{190}) \\times 100$<br>\r\nPercent Difference $\u2248 10.53\\%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The population of town A is 10,000 and that of B is 12,500. What is the percent difference?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$22\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$25\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$45\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$52\\%$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $22\\%$<br\/>Difference $= 12,500 \\;-\\; 10,000 = 2,500$<br>\r\nAverage$ = 11,250$<br>\r\nPercent difference $=(\\frac{2,500}{11.250}) \\times 100 \u2248 22.22\\%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The price of a watch is $\\$80$. The price of a clock is $\\$58$. Choose the correct percent difference in the price.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$25\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$22\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$32\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$35\\%$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $32\\%$<br\/>Difference $= \\$80 \\;-\\; \\$58 = \\$22$<br>\r\nAverage $= 69$<br>\r\nPercent difference $=(\\frac{16}{72}) \\times 100 \u2248 32\\%$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"How to Calculate Percent Difference - Definition, Formula, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"How to Calculate Percent Difference\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The population of two cities A and B is 50,000 and 55,000 respectively. 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What is the percentage difference?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5.8\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$920\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$9.52\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Population difference $$= 55,000 \\\\;-\\\\; 50,000 = 5,000$$<br>\r\nAverage $$= \\\\frac{(50,000 + 55,000)}{2} = 52,500$$<br>\r\nPercent difference $$= \\\\frac{5,000}{52,500} \\\\times 100 \u2248 9.52\\\\%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The weight of an object A is 200 grams. 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What is the percent difference?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$14\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$10\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Percent Difference $$= \\\\frac{|Weight \\\\;difference|}{(Average\\\\; weight)} \\\\times 100$$<br>\r\nPercent Difference $$= (\\\\frac{20}{190}) \\\\times 100$$<br>\r\nPercent Difference $$\u2248 10.53\\\\%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The population of town A is 10,000 and that of B is 12,500. What is the percent difference?\",\n                    \"text\": \"The population of town A is 10,000 and that of B is 12,500. What is the percent difference?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$45\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$52\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$22\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Difference $$= 12,500 \\\\;-\\\\; 10,000 = 2,500$$<br>\r\nAverage$$ = 11,250$$<br>\r\nPercent difference $$=(\\\\frac{2,500}{11.250}) \\\\times 100 \u2248 22.22\\\\%$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The price of a watch is $$\\\\$$80$$. The price of a clock is $$\\\\$$58$$. Choose the correct percent difference in the price.\",\n                    \"text\": \"The price of a watch is $$\\\\$$80$$. The price of a clock is $$\\\\$$58$$. Choose the correct percent difference in the price.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$22\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$35\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$32\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Difference $$= \\\\$$80 \\\\;-\\\\; \\\\$$58 = \\\\$$22$$<br>\r\nAverage $$= 69$$<br>\r\nPercent difference $$=(\\\\frac{16}{72}) \\\\times 100 \u2248 32\\\\%$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-percent-difference\">Frequently Asked Questions on Percent Difference<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-cc969664-920a-44ef-abd0-23ee99db4b3b\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-cc969664-920a-44ef-abd0-23ee99db4b3b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc969664-920a-44ef-abd0-23ee99db4b3b\"><strong>Why do we take the average of two values in the percent difference formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-cc969664-920a-44ef-abd0-23ee99db4b3b\">\n\n<p>Since there is no way to decide which value is the reference value, we consider the average of two values as the reference value. It helps us treat both the values equally.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-cc969664-920a-44ef-abd0-23ee99db4b3b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc969664-920a-44ef-abd0-23ee99db4b3b\"><strong>Why do we ignore the minus sign when calculating the percent difference?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-cc969664-920a-44ef-abd0-23ee99db4b3b\">\n\n<p>Since we focus on the magnitude of the change (regardless if it is positive or negative) and not on the direction of the change, we don\u2019t take the minus sign into account. Since both the values are equally important, the use of the negative sign is not useful.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-cc969664-920a-44ef-abd0-23ee99db4b3b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc969664-920a-44ef-abd0-23ee99db4b3b\"><strong>When do we use the percent error formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-cc969664-920a-44ef-abd0-23ee99db4b3b\">\n\n<p>When we want to compare the exact value with the estimated value (or measurement), we prefer the percent error formula. It helps us quantify the accuracy or precision of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/measurement\">measurement<\/a>.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-cc969664-920a-44ef-abd0-23ee99db4b3b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-cc969664-920a-44ef-abd0-23ee99db4b3b\"><strong>What does percent change, percent error, and percent difference tell us?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-cc969664-920a-44ef-abd0-23ee99db4b3b\">\n\n<p>Percent change generally indicates growth or decline, the percent error measures accuracy in the measurement, and the percent difference helps us quantify variation or inconsistency in the two values.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Percent Difference in Math? Percent difference is the ratio of the absolute difference between two values to the average of the two values, calculated as a percentage.&nbsp; Percent Difference $= \\frac{Absolute&nbsp;\\; Difference}{Average} \\times 100$&nbsp; In simple words, the percent difference is the percentage of the relative difference. The relative difference between two &#8230; <a title=\"How to Calculate Percent Difference &#8211; Definition, Formula, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/percent-difference\" aria-label=\"More on How to Calculate Percent Difference &#8211; Definition, Formula, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-32335","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32335","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=32335"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32335\/revisions"}],"predecessor-version":[{"id":32346,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32335\/revisions\/32346"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}