Ratio to Percentage

Ratio to percentage conversion process helps to represent a number in ratio form in terms of percentage. You have often seen the percentage as a way to evaluate a student’s performance in examinations. Thus, the 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, the concept of ratio comes into the picture. In simple words, the ratio is also used to compare quantities in a different manner. In this article, we will discuss how to convert ratio into percentage easily and solve a few questions to have a better understanding of the topic.

Ratio to Percentage Conversion

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

  • Example Question 1: 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%

Try This: Ratio To Percent Calculator

  • Example Question 2: 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%