Table of Contents

## How to Convert Ratio to Percentage?

Follow the simple and easy steps listed for Ratio to Percentage Conversion and make your work much simple. They are along the lines

- Firstly, obtain the given ratio and convert it to a fraction.
- Work out the division between the given fraction.
- Multiply the obtained decimal with 100 to get the Percentage Value.
- Add a Percentage Symbol after the result.

### Solved Examples on Ratio to Percentage Conversion

1. If the Ratio is 8:2, What is it in Percentage Form?

**Solution:**

Given Ratio = 8:2

Change the Given Ratio to Fraction Form = 8/2

Perform Division between the fraction and change it to a decimal value i.e 8/2 = 4

Simply multiply the result with 100 and place a % symbol at the end.

= 4*100

= 400%

Therefore, Ratio 8:2 converted to Percentage is 400%.

2. John got his monthly salary. The ratio of expenditure to savings is 5:2. What percentage of the salary, did he spend, and what percentage was saved by him?

**Solution:**

Since the expenditure and savings are 5 and 2 the salary can be taken as 5+2 = 7 parts. This implies the expenditure is 5/7 parts and savings are 2/7 parts.

Converting Ratio to Percentage we get

Expenditure Percentage = 5/7*100 = 71.42%

Savings Percentage = 2/7*100 = 28.57%

3. There are 50 students in a class of which 15 are boys. What is the Percentage of Boys?

**Solution:**

Given Ratio is 15:50

Converting it to Fraction Form we have 15/50

= 3/10

Multiply the fraction obtained with 100 and place a % symbol at the end

= 3/10*100

= 30%

Therefore, the Percentage of Boys in the Class of 50 Students is 30%.

4. The Angles of a Triangle are in the Ratio of 1:3:2? Find the Value of each angle along with the percentage of each angle?

**Solution:**

Since the angles are in the ratio 1:3:2 total parts = 1+3+2 = 6

The measure of the first angle = 1/6*180 = 30 degrees

The measure of the second angle = 3/6*180 = 90 degrees

The measure of the third angle = 2/6*180 = 60 degrees

First Angle Percentage = 1/6*100 = 16.66 %

Second Angle Percentage = 3/6*100 = 50%

Third Angle Percentage = 2/6*100 = 33.33%