In this Worksheet on Ratio into Percentage, we can see problems on Ratio into Percentage and know about how to convert a Ratio into Percentage. The term percent in the percentage means per hundred and the ratio refers to the comparison of values between the two numbers which shows that the size in relation to each other. Here, to find the ratio, we will multiply or divide each term in the ratio by the numbers.

So to convert the ratio into a percentage, we will add the given ratio, and then a certain number will be obtained. Then to find the percentage of the single part of the given ratio we will mention the part which we want to find as the numerator and then the total part in the denominator. And finally, to get the percentage we will multiply by 100. Then we can get the ratio converted into a percentage.

1. Convert the following ratio into a percentage?

(i) 9 : 25

(ii) 2 : 10

(iii) 5: 20

## Solution:

(i) 9: 25

We will place 9 in the numerator and 25 in the denominator

= 9/25

and then we will multiply by 100 to get the percentage

= (9/25 × 100) %

on solving we will get

= 36%

(ii) 2 : 10

We will place 2 in the numerator and 15 in the denominator

= 2/10

and then we will multiply by 100 to get the percentage

= (2/10 × 100) %

on solving we will get

= 20%.

(iii) 5: 20

We will place 5 in the numerator and 20 in the denominator

= 5/20

and then we will multiply by 100 to get the percentage

= (5/20 × 100) %

on solving we will get

= 25%

2. Convert each of the following ratios as fraction percentage?

(i) 3 : 40

(ii) 6 : 16

## Solution:

(i) 3: 40

We will place 3 in the numerator and 40 in the denominator

= 3/40

and then we will multiply by 100 to get the percentage

= (3/40 × 100) %

on solving we will get

= 3/40%

(ii) 6: 16

We will place 3 in the numerator and 40 in the denominator

= 6/16

and then we will multiply by 100 to get the percentage

= (6/16 × 100) %

on solving we will get

= 75/2%

3. Express each of the following ratios into a decimal percent?

(i) 4 : 15

(ii) 3 : 20

(iii) 2: 30

## Solution:

(i) 4: 15

We will place 4 in the numerator and 15 in the denominator

= 4/15

and then we will multiply by 100 to get the percentage

= (4/15 × 100) %

on solving we will get

=26.6 %

(ii) 5: 18

We will place 5 in the numerator and 18 in the denominator

= 5/18

and then we will multiply by 100 to get the percentage

= (5/18 × 100) %

on solving we will get

= 27.7 %

(iii) 2: 30

We will place 2 in the numerator and 30 in the denominator

= 2/30

and then we will multiply by 100 to get the percentage

= (2/30 × 100) %

on solving we will get

= 6.66%

4. The given angles of a triangle are in the ratio 2:2:1. Find the value of each angle and what will be the percent of each angle?

## Solution:

The given angles are 2:2:1, so 2+2+1= 5 parts.

As we know that the sum of angles in a triangle is 180 degrees.

The measure of the first angle is 2/5 × 180= 72 degrees.

The measure of the second angle is 2/5 × 180= 72 degrees.

The measure of the third angle is 1/5 × 180= 36 degrees.

And to convert the given ratio to percent we will multiply by 100

The percentage for the first angle is 2/5 × 100= 40%

The percentage for the second angle is 2/5 × 100= 40%

The percentage for the third angle is 1/5 × 100= 20%

5. In a class the total number of students in grade 8th is 50 and 26 of them are girls. Find the percentage of girl students in the class.

## Solution:

The total number of students in grade 8th is 50 students.

The girl students are 26

The percentage of girl students in grade 8th is

26/50 ×100

on solving we will get

52%.