Percentage of a Number

How to find percentage of a number?

We will follow the following steps for finding percent of a number:

Step I: Obtain the given number

Step II: Multiply the number by the required percentage i.e.,
                    x % of a = x/100 × a

Solved examples to find the percent of a number:

1. Find 17 % of $ 1700

Solution:            

17 % of $ 1700

= 17/100 × 1700

= $289                    


2. Find 10 % of 900

Solution:            

10 % of 900

= 10/100 × 900

= 90


3. Find 25/8 % of 160.

Solution:            

25/8 % of 160

= (25/8)/100 × 160

= 25/800 × 160

= 4000/800

= 5


4. Find the number if 35 % of it is 280 km.

Solution:            

Let the required number be m.

Then 35 % of m = 280    

⇒ 35/100 × m = 280

⇒ m = 280 × 100/35

⇒ m = 28000/35

⇒ m = 800

Therefore, 35 % of 800 km is 280 km


How to find a new number when a number is increase or decrease by a given percent?

(i) If a number is increased by x %, then the new number = (1 + x/100) × given number.

(ii) If a number is decreased by x %, then the new number = (1 – x/100) × given number.


Solved examples:

1. What is the new number if increase the number 300 by 20 %.

Solution:            

New number = (1 + 20/100) × 300

                 = (100 + 20)/100 × 300

                 = 120/100 × 300

                 = 120 × 3

                 = 360

Therefore, the new number = 360


2. What is the new number if decreased the number 360 by 30 %.

Solution:            

New number = (1 – 30/100) × 360

                 = (100 – 30)/100 × 360

                 = 70/100 × 360

                 = 25200/100

                 = 252

Therefore, the new number =252

Worksheet on Fraction into Percentage

Worksheet on Percentage into Fraction

Worksheet on Percentage into Ratio

Worksheet on Ratio into Percentage

Worksheet on Percentage into Decimal

Worksheet on Percentage of a Number

Worksheet on Finding Percent

Worksheet on Finding Value of a Percentage

Worksheet on Percentage of a Given Quantity

Worksheet on Word Problems on Percentage

Worksheet on Increase Percentage

Worksheet on Decrease Percentage

Worksheet on increase and Decrease Percentage

Worksheet on Expressing Percent

Worksheet on Percent Problems

Worksheet on Finding Percentage





8th Grade Math Practice

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