# Ratio to Percent

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Ratio is the quantitative comparison between quantitates or numbers. Ratio is a very commonly used operation in mathematics. The symbol of ratio is ‘ : ’  Percentage means per hundred. The symbol used for percentage is ‘ % ’.  A ratio can be expressed in a percentage form. For example, a / b can be written as a : b. Here a / b is fraction form and a : b is the ratio form. To convert to percent the fraction is multiplied by 100.

Example 1: Simplify the given ratio 4 : 8 and express the answer in the percent form.

Solution: Here the given ratio is 4 : 8.

The given ratio can be expressed as an fraction from by writing 4 : 8 as
4 / 8.

Now the fraction form can be further simplified as 4 and 8 are both divisible by 4.

This reduces the given fraction to 1 / 2.

Converting into a fraction gives 1/2 * 100 = 50%.

Hence the percentage of the given ratio is 50 %.

Example 2: Simplify the given ratio 5 : 20 and express the answer in the percent form.

Solution: Here the given ratio is 5 : 20.

The given ratio can be expressed as an fraction from by writing 5 : 20 as
5 / 20.

Now the fraction form can be further simplified as 5 and 20 are both divisible by 5.

This reduces the given fraction to 1 / 4.

Converting into a fraction gives 1/4 * 100 = 25%.

Hence the percentage of the given ratio is 25%.