Worksheet on Percentage of a Number | Find the Percent of a Number - Free Printable

Sure! Let’s solve each problem step by step and explain the reasoning.

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1. Find the following:

(i) 22% of 140

To find a percentage of a number, multiply the number by the percentage (as a decimal).

→ 22% = 22/100 = 0.22

So,

0.22 × 140 = ?

Let’s compute:

0.22 × 140 = (22 × 140) / 100
= (3080) / 100
= 30.8

✔ Answer: 30.8

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(ii) 25% of $750

25% = 25/100 = 0.25

So,

0.25 × 750 = ?

We know 25% is the same as 1/4, so:

750 ÷ 4 = 187.5

✔ Answer: $187.50

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2. Find the value of the following:

(i) 5% of 30 m

5% = 5/100 = 0.05

0.05 × 30 = 1.5

✔ Answer: 1.5 m

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(ii) 12% of $800

12% = 12/100 = 0.12

0.12 × 800 = ?

Break it down:

10% of 800 = 80
2% of 800 = 16
So, 12% = 80 + 16 = 96

✔ Answer: $96

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3. What is 5% of $1400?

5% = 0.05

0.05 × 1400 = ?

Again, 5% is half of 10%, and 10% of 1400 = 140, so half of that is 70

✔ Answer: $70

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4. What is 7% of $7150?

7% = 0.07

0.07 × 7150 = ?

Let’s compute:

First, 1% of 7150 = 71.5
Then, 7% = 7 × 71.5 = ?

7 × 70 = 490
7 × 1.5 = 10.5
Total = 490 + 10.5 = 500.5

✔ Answer: $500.50

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5. Sam bought an electric iron at a price 25% less than the original price. If the original price of the iron is $2560, at what price did Sam buy the electric iron?

“25% less” means he paid 100% - 25% = 75% of the original price.

So, we need to find 75% of $2560.

75% = 0.75

0.75 × 2560 = ?

We can break this down:

0.75 = 3/4 → So, divide 2560 by 4, then multiply by 3.

2560 ÷ 4 = 640
640 × 3 = 1920

✔ Answer: $1920

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✔ Final Answers Summary:

1. (i) 30.8
(ii) $187.50

2. (i) 1.5 m
(ii) $96

3. $70

4. $500.50

5. $1920

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Let me know if you’d like these explained in another way or need visual diagrams!