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

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%

Check Out Other Conversion Related Topics:

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