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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**8th Grade Math Practice**

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**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 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**

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