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 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.
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,
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How to Convert Ratio to Percentage
Let’s understand how to express a ratio as a percentage.
Step 1: Write the ratio a:b in the fraction form
Step 2: Multiply
Step 3: Add the percentage sign
Example 1: Convert the ratio 3 : 5 into percentage.
The ratio 3 : 5 is written in the fraction form as
Multiply
Adding the percentage symbol
The ratio 3 : 5 in percentage form is
In certain examples, identifying the ratio can be tricky. Let’s see one such example.
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?
The ratio of pens to pencils
It means that if there are
Ratio of blue pens to the total number of items
Ratio to percentage
Percentage of blue pens in the box
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Ratio to Percentage Formula
The formula for converting ratios to percentages is as follows:
Percentage
Add the sign
Example:
Ratio to Percentage Table
Ratio | Percentage Conversion | Percentage |
---|---|---|
1: 2 | ||
1: 3 | ||
1: 4 | ||
1: 5 | ||
1: 10 | ||
2: 5 | ||
1: 25 | ||
4: 5 | ||
1: 50 | ||
1: 100 |
Facts about Ratio to Percentage Conversion
To convert a fraction to percentage, we follow the same steps that we follow to convert a ratio to percentage.
Fraction
Conclusion
In this article, we learned how to convert a ratio to a percentage, formula, and steps. Let’s solve a few examples and practice problems to revise the concept.
Solved Examples on Fractions to Percentage Conversion
1. Convert 4 : 5 ratio into percentage.
Solution:
Given ratio
The ratio 4 : 5 is written as
Multiplying
2. The ratio of Monica’s expenses and savings is 8 : 2. What percentage of her income did she spend, and what percent did she save?
Solution:
Expenses to savings ratio
Total parts
This suggests that
Converting ratio to percentage we get,
Percentage of expenditure
Similarly, percentage of savings
3. On a canvas, the ratio of the red and black is 2 : 3. What percentage of red color is used?
Solution:
Total number of parts
Percentage of red color
35 parts are filled in black.
Percentage of black color
Practice Problems on Ratio to Percentage Conversion
Ratio to Percentage Conversion - Steps, Formula, Table, Examples, FAQs
1 : 100
1 : 100
Convert 7 : 8 to percentage.
7 : 8
The ratio of apples to oranges in a fruit basket is 9 : 16. What is the percentage of apples in the basket?
Total number of fruits
Number of apples
Ratio of apples to the total number of fruits
Percentage of apples in the basket
Frequently Asked Questions on Ratio to Percentage Conversion
What is the formula for the ratio to percentage?
The ratio to percentage formula is:
Percentage
What is the ratio of 75%?
What benefits come from representing ratios using percentages?
Comparing quantities given in percentages is simpler than comparing multiple ratios.
How can you express percentages as a fraction?
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.
