The Worksheet on Finding the value of a Percentage helps the scholars and the individuals preparing for their examinations or for any competitive tests. In this worksheet, you can find different types of questions with answers. As we know the percent means per hundred and it is used to share the amount in terms of hundred. Here, we will discuss finding the value of the percentage in detail with solved examples below. If you have any further doubts on how to approach and all you can check our Percentage Worksheets available to get grip on the concepts.

## How to Find the Value of a Percentage?

To find the value of a percentage, as we know that percent means per hundred, so first, we will multiply the given value by 100, and then we will add the percent symbol to the result that we will get. Let’s see in detail about finding the value of a percentage with some of the examples which are solved below.

1. Figure out the value of X for the following below?

(i) 15% of X is 450

(ii) 20% of X is 25 cm

(iii) 7.7% of X is 70 kg

(iv) 6% of X in 30 minutes.

## Solution:

(i) 15% of X is 450

Here, we should find the value of X, so the number X,

As given 15/100 × X = 450

450/15 ×100=

on solving, we will get 3000

So the value of X is 3000.

(ii) 20% of X is 25 cm

Here, we should find the value of X, so the number X,

As given 20/100 × X = 25

25/20 ×100=

on solving, we will get 125

So the value of X is 125cm.

(iii) 7.7% of X is 70 kg

Here, we should find the value of X, so the number X,

As given 7.7/100 × X = 70

7.7/70 ×100=

on solving, we will get 11

So the value of X is 11kg.

(iv) 6% of X in 30 minutes.

Here, we should find the value of X, so the number X,

As given 6/100 × X = 30

30/6 ×100=

on solving, we will get 500

So the value of X is 500 minutes.

2. What will be the number if 3.2% of the number is 800?

## Solution:

Let the number X,

As given 3.2% of the number is 800, which means

3.2/100 × X = 800

800/3.2 ×100=

on solving, we will get 25,000

So the number is 25,000.

3. Fill up the below:

(i) 60 is 12% of ________.

(ii) 350 kg is 70% of_________.

(iii) 50 hours is 25 % of ________.

## Solution:

(i) 60 is 12% of ________.

Let the number X,

As given 60 is 12%, which means

12/100 × X = 60

60/12 ×100=

on solving, we will get 400

So, 60 is 12% of 400.

(ii) 350 kg is 70% of_________.

Let the number X,

As given 350 is 70%, which means

70/100 × X = 350

350/70 ×100=

on solving, we will get 500

So, 350 kg is 70% of 500 kg.

(iii) 50 hours is 25 % of ________.

Let the number X,

As given 50 is 25%, which means

25/100 × X = 50

50/25 ×100=

on solving, we will get 200

So, 50 hours is 25 % of 200 hours.

4. Solve the number whose 16 2/3% is 250?

## Solution:

Let the number be X,

As given 16 2/3% is 250, which means

50/100×3 × X= 250

Therefore X is

250×3 ×100 / 50=

on solving, we will get 1,500.

5. What is the number, if 90 is 18% of a number.

## Solution:

Let the number be X,

As given 90 is 18% which means,

18/100 × X = 90

Therefore X is

90×100 / 90 =

on solving, we will get 500.

So the number is 500.

6. Solve the following to find the number.

(i) 90 is 9% of which number

(ii) 6 is 10% of which number

(iii) 200 is 20% of which number

## Solution:

## (i) 90 is 9% of which number

Let the number be X,

As given 90 is 9% which means,

9/100 × X = 90

Therefore X is

90/9 × 100 =

on solving, we will get 1000.

So the number is 1000.

(ii) $6 is 10% of which number

Let the number be X,

As given $6 is 10% which means,

10/100 × X = 6

Therefore X is

6/10 × 100 =

on solving, we will get 60.

So the number is 6.

(iii) 200 is 20% of which number

Let the number be X,

As given 200 is 20% which means,

20/100 × X = 200

Therefore X is

200/20 × 100 =

on solving, we will get 1000

So the number is 1000.

7. Mr. Mike bought 5 dozens of eggs from the store, out of that 15% was broken. How many eggs are in a stable condition?

## Solution:

The total number of eggs Mike bought are 6 dozens,

As we know 1 dozen= 12, so

5 dozens= 60 eggs,

in that 15% of eggs are broken, which means

15/100 × 60=

on solving, we will get 9.

So, the number of eggs in a stable condition is 51 eggs.