# 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

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