{"id":28263,"date":"2023-04-26T16:00:42","date_gmt":"2023-04-26T16:00:42","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=28263"},"modified":"2023-05-03T05:49:58","modified_gmt":"2023-05-03T05:49:58","slug":"ratio-to-percentage-conversion-steps-formula-table-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent","title":{"rendered":"Ratio to Percentage Conversion &#8211; Steps, Formula, Table, Examples, FAQs"},"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-03ce097d-e90c-47b0-86bb-036be6c9c461\" 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\/ratio-to-percent#0-what-is-the-ratio-to-percentage-conversion>What Is the Ratio to Percentage Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#1-how-to-convert-ratio-to-percentage->How to Convert Ratio to Percentage&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#2-ratio-to-percentage-formula>Ratio to Percentage Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#5-conclusion>Conclusion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#6-solved-examples-on-fractions-to-percentage-conversion>Solved Examples on Fractions to Percentage Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#7-practice-problems-on-ratio-to-percentage-conversion>Practice Problems on Ratio to Percentage Conversion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent#8-frequently-asked-questions-on-ratio-to-percentage-conversion>Frequently Asked Questions on Ratio to Percentage Conversion<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-the-ratio-to-percentage-conversion\">What Is the Ratio to Percentage Conversion?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>The ratio to percentage conversion refers to the method of converting any given ratio into its equivalent percentage value.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Two quantities of the same kind and same unit are compared using the ratio. So, a ratio tells us how much of one quantity is present in relation to another quantity. For example, if the water to milk ratio is 1:2, it means that for 1 glass of water, you must add 2 glasses of milk.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;A percentage, on the other hand, is a particular kind of ratio where the value of the denominator is always equal to 100. For example, $25\\%$ means $\\frac{25}{100}$.<\/p>\n\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\/evaluate-algebraic-expressions-with-one-operation\" 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\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation 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\">Evaluate Algebraic Expressions with One Operation 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\/evaluate-algebraic-expressions-with-two-operations\" 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\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations 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\">Evaluate Algebraic Expressions with Two Operations 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\/evaluate-expressions-with-2-or-more-operations\" 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\/algebra_evaluate_num_exp_pt.png\" alt=\"Evaluate Expressions with 2 or More Operations 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\">Evaluate Expressions with 2 or More Operations 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\/evaluate-expressions-with-two-operations\" 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\/algebra_evaluate_exp_pt.png\" alt=\"Evaluate Expressions with Two Operations 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\">Evaluate Expressions with Two Operations 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\/simplify-expressions-with-2-or-more-operations\" 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\/algebra_simplify_exp_brackets_pt.png\" alt=\"Simplify Expressions with 2 or More Operations 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\">Simplify Expressions with 2 or More Operations 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\/simplify-expressions-with-two-operations\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div 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});\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-how-to-convert-ratio-to-percentage-\">How to Convert Ratio to Percentage&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand how to express a ratio as a percentage.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Write the ratio a:b in the fraction form $\\frac{a}{b}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Multiply $\\frac{a}{b}$ by 100.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Add the percentage sign $(\\%)$ to the resultant value.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1:<\/strong> <strong>Convert the ratio 3 : 5 into percentage.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The ratio 3 : 5 is written in the fraction form as $\\frac{3}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiply $\\frac{3}{5}$ by 100.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{3}{5} \\times 100 = 60$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Adding the percentage symbol $(\\%)$ to the resultant value, we get $60\\%$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The ratio 3 : 5 in percentage form is $60\\%$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In certain examples, identifying the ratio can be tricky. Let\u2019s see one such example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: The ratio of blue pens to red pens in a box is 1 : 4. What is the percentage of blue pens present in the box?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The ratio of pens to pencils $= 1 : 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">It means that if there are $1 + 4 = 5$ items in the box, there will be 1 blue pen and 4 red pens.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Ratio of blue pens to the total number of items $= 1 : 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Ratio to percentage $= \\frac{1}{5} \\times 100 = 20\\%$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Percentage of blue pens in the box $= 20\\%$<\/p>\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\/choose-the-correct-operation\" 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\/choose-the-correct-operation.jpeg\" alt=\"Choose the Correct Operation 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\/choose-the-correct-operation-add-or-subtract\" 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\/choose-the-correct-operation-add-or-subtract.jpeg\" alt=\"Choose the Correct Operation\u2014 Add or Subtract 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\/choose-the-operation-for-the-given-scenario\" 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\/choose-the-operation-for-the-given-scenario.jpeg\" alt=\"Choose the Operation for the Given Scenario 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\/identify-the-correct-operation\" 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\/identify-the-correct-operation.jpeg\" alt=\"Identify the Correct Operation 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\/model-and-solve-mystery-problems-on-same-operation\" data-vars-ga-category=\"splashlearn_vocab\" 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/select-the-correct-operation.jpeg\" alt=\"Select the Correct Operation 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\/solve-two-step-story-problems-on-same-operation\" 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\/solve-two-step-story-problems-on-same-operation.jpeg\" alt=\"Solve Two-Step Story Problems on Same Operation 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\/solve-two-step-word-problems-on-same-operation\" 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\/solve-two-step-word-problems-on-same-operation.jpeg\" alt=\"Solve Two-Step Word Problems on Same Operation 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\/solving-mystery-problems-on-same-operation\" 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\/solving-mystery-problems-on-same-operation.jpeg\" alt=\"Solving Mystery Problems on Same Operation 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 eplus-wrapper\" id=\"2-ratio-to-percentage-formula\">Ratio to Percentage Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The formula for converting ratios to percentages is as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Percentage <\/strong>$=$<strong> Ratio <\/strong>$\\times 100$<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Add the sign $\\%$ is used to denote the percentage.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example: <\/strong>&nbsp;$5 : 10 =&nbsp; \\frac{5}{10} \\times 100 = 50\\%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-ratio-to-percentage-table\">Ratio to Percentage Table<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Ratio<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Percentage Conversion<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Percentage<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 2<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{2} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$50\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 3<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{3} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$33.33\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 4<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{4} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$25\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 5<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{5} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$20\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 10<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{10} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$10\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2: 5<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{2}{5} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$40\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 25<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{25} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$4\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4: 5<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{4}{5} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$80\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 50<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{50} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$2\\%$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">1: 100<\/td><td class=\"has-text-align-center\" data-align=\"center\">$\\frac{1}{100} \\times 100$<\/td><td class=\"has-text-align-center\" data-align=\"center\">$1\\%$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-facts-about-ratio-to-percentage-conversion\">Facts about Ratio to Percentage Conversion<\/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-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<p class=\"eplus-wrapper wp-block-paragraph\">To convert a fraction to percentage, we follow the same steps that we follow to convert a ratio to percentage.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Fraction $\\frac{1}{4} = \\frac{1}{4} \\times 100 = 25\\%$<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we learned how to convert a ratio to a percentage, formula, and steps. Let\u2019s solve a few examples and practice problems to revise the concept.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-on-fractions-to-percentage-conversion\">Solved Examples on Fractions to Percentage Conversion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. Convert 4 : 5 ratio into percentage.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Given ratio $= 4 : 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The ratio 4 : 5 is written as $\\frac{4}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Multiplying&nbsp; $\\frac{4}{5}$ by 100. Add $\\%$ sign to the result.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\frac{4}{5} \\times 100 = 80\\%$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. The ratio of Monica\u2019s expenses and savings is 8 : 2. What percentage of her income did she spend, and what percent did she save?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Expenses to savings ratio $= 8 : 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Total parts $= 2 + 8 = 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;This suggests that $\\frac{8}{10}$ of the salary is spent, and only $\\frac{2}{10}$ is saved.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Converting ratio to percentage we get,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Percentage of expenditure $= \\frac{8}{10} \\times 100 = 80\\%$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Similarly, percentage of savings $= \\frac{2}{10} \\times 100 = 20\\%$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. On a canvas, the ratio of the red and black is 2 : 3. What percentage of red color is used?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Total number of&nbsp; parts $= 2 + 3 = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{2}{5}$ parts are filled in red.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Percentage of red color $= \\frac{2}{5} \\times 100 = 40\\%$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">35 parts are filled in black.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Percentage of black color $= \\frac{3}{5} \\times 100 = 60\\%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems-on-ratio-to-percentage-conversion\">Practice Problems on Ratio to Percentage Conversion<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Ratio to Percentage Conversion - Steps, Formula, Table, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">1 : 100 $=$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$100\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$10\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$1\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2%$<\/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: $1\\%$<br\/>1 : 100 $= \\frac{1}{100}\\times100 = 1\\%$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Convert 7 : 8 to percentage.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$88\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$88.5\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$78\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$87.5\\%$<\/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: $87.5\\%$<br\/>7 : 8 $= \\frac{7}{8}\\times100 = 87.5\\%$<\/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 ratio of apples to oranges in a fruit basket is 9 : 16. What is the percentage of apples in the basket?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$36\\%$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$64\\%$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$9\\%$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$16\\%$<\/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: $36\\%$<br\/>Total number of fruits $= 9 + 16 = 25$<br>\r\nNumber  of apples $= 9$<br>\r\nRatio of apples to the total number of fruits $= 9 : 25$<br>\r\nPercentage of apples in the basket $= \\frac{9}{25}\\times100=36\\%$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        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                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$16\\\\%$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total number of fruits $$= 9 + 16 = 25$$<br>\r\nNumber  of apples $$= 9$$<br>\r\nRatio of apples to the total number of fruits $$= 9 : 25$$<br>\r\nPercentage of apples in the basket $$= \\\\frac{9}{25}\\\\times100=36\\\\%$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$36\\\\%$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total number of fruits $$= 9 + 16 = 25$$<br>\r\nNumber  of apples $$= 9$$<br>\r\nRatio of apples to the total number of fruits $$= 9 : 25$$<br>\r\nPercentage of apples in the basket $$= \\\\frac{9}{25}\\\\times100=36\\\\%$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total number of fruits $$= 9 + 16 = 25$$<br>\r\nNumber  of apples $$= 9$$<br>\r\nRatio of apples to the total number of fruits $$= 9 : 25$$<br>\r\nPercentage of apples in the basket $$= \\\\frac{9}{25}\\\\times100=36\\\\%$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-ratio-to-percentage-conversion\">Frequently Asked Questions on Ratio to Percentage Conversion<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\" 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-0-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\"><strong>What is the formula for the ratio to percentage?<\/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-0-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The ratio to percentage formula is:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Percentage $=$ Ratio $\\times 100$<\/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-1-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\"><strong>What is the ratio of 75%?<\/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-1-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\frac{75}{100} = 3 : 4$<\/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-2-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\"><strong>What benefits come from representing ratios using percentages?<\/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-2-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Comparing quantities given in percentages is simpler than comparing multiple ratios.<\/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-3-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\"><strong>How can you express percentages as a fraction?<\/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-3-3bb89448-d4dd-45e7-9a48-35911c3a9cf7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A percentage is a number that indicates how many out of 100 are present. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/04\/Frequently-Asked-Questions-4-1.png\" alt=\"Percentage as a fraction example\" class=\"wp-image-28271\" width=\"119\" height=\"152\" title=\"Percentage as a fraction example\"\/><\/figure>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Ratio to Percentage Conversion? The ratio to percentage conversion refers to the method of converting any given ratio into its equivalent percentage value. Two quantities of the same kind and same unit are compared using the ratio. So, a ratio tells us how much of one quantity is present in relation to &#8230; <a title=\"Ratio to Percentage Conversion &#8211; Steps, Formula, Table, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/ratio-to-percent\" aria-label=\"More on Ratio to Percentage Conversion &#8211; Steps, Formula, Table, Examples, FAQs\">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-28263","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\/28263","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=28263"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28263\/revisions"}],"predecessor-version":[{"id":28459,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28263\/revisions\/28459"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=28263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=28263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=28263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}