If you are eager to know what is meant by Percentage and how to calculate the Percentage of a Number this is the right place. Learn how to find the Percentage of a Number in the later sections. Refer to the Solved Examples explained along with step-by-step solutions for a better idea of the concept.

## How to find the Percentage of a Number?

Follow the simple and easy guidelines listed below for finding the Percentage of a Number. They are as such

**Step 1:** Obtain the given number.

**Step 2: **Multiply the number with the required percentage.

Consider the number to be n and the percentage be m. Then the percentage of a number is m% of n i.e. m/n*100

### Solved Examples for finding the Percentage of a Number

1. Find 10% of $1500?

Solution:

= 10/100*1500

= $150

Therefore, 10% of $1500 is $150.

2. Find 12/2% of 120?

Solution:

Given 12/2% of 120

= (12/2)/100*120

= 6/100*120

= 720/100

= 7.2

Therefore, 12/2% of 120 is 7.2

3. Find the Number if 25% of it is 200Km?

Solution:

Let the number be m

25%*m = 200 km

25/100*m = 200

m = (200*100)/25

= 800

4. Find the 13% of 169?

Solution:

Given 13% of 169

= 13/100*169

= 2197/100

= 21.97

### How to find New Number if a number is increased or decreased by a certain percentage?

(i) If a number increases by x %, then the new number can be obtained by the formula (1 + x/100) × given number.

(ii) If a number decreases by x %, then new number can one obtained using the formula (1 – x/100) × given number.

Solved Examples

1. What is the New Number if a Number 200 increases by 15%?

Solution:

If a Number increases by x% then the new number can be obtained using the formula (1+x/100)*given number

= (1+15/100)*200

= (115/100)*200

= 230

Therefore, the New Number is 230.

2. What is the New Number if a Number 350 decreases by 25 %?

Solution:

If a Number decreases by x% then the new number can be obtained using the formula (1-x/100)*given number

substituting the given values we have the equation as under

= (1-25/100)*350

= (75/100)*350

= 262.5

Therefore, the New Number is 262.5