Ratio To Percentage

You have often seen percentage as a way to evaluate a student’s performance in examinations. Thus, percentage is used to compare quantities. It literally means ‘per 100’, which is a number expressed as a fraction of 100. So when you say 100% of something, it means it represents the whole of it. Similarly, when you talk about pizza slices being divided amongst 2 people, ratio comes into picture. Ratio is also used to compare quantities. In this article we will discuss how to convert ratio to percentage.

Ratio to Percentage

Ratio to Percentage Conversion

At times you are given parts of a quantity in the form of ratios. They can also be represented in the form of percentages. Ratio to percentage conversion help us in obtaining accuracy in mixtures of elements, or while calculating the percetage score in a test. Let us understand this with the help of examples.

  • Question: Varun received his monthly salary. The ratio of his expenditure to savings is 7:3. What percentage of his salary, did he spend and what percentage was saved by him?

Solution: Since the part of saving and expenditure are 3 and 7, the salary can be taken as 3 + 7 = 10 parts. This implies, 7/10 part of the salary is spent whereas 3/10 parts are saved.

Converting ratio to percentage we get,

Percentage of expenditure = 7/10 x 100% = 70%

Similarly, percentage of savings = 3/10 x 100% = 30%

  • Question: The angles of a triangle are in the ratio 1:1:2. Find the value of each angle. What will be the percentage of each angle?

Solution: Since the angles are in ratio 1:1:2, there are 1 + 1 + 2 = 4 parts. The sum of angles in a triangle is 180 degrees.

Thus, measure of the first angle = 1/4 x 180 = 45 degrees

Measure of the second angle = 1/4 x 180 = 45 degrees

Measure of the third angle = 2/4 x 180 = 90 degrees

Similarly, converting ratio to percentage we have,

First angle = 1/4 x 100% = 25%

Second angle = 1/4 x 100% = 25%

Third angle = 2/4 x 100% = 50%

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Practise This Question

The mean of 5 observations is 12. If the mean of the first 3 is 10, then find the mean of the other two.