Printable worksheet featuring problems to calculate percentage increase, ideal for math practice.

Let’s solve each problem one by one. We’ll use this simple rule:

Percentage Increase = [(New Number – Original Number) ÷ Original Number] × 100

We’ll calculate step by step for each.

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Problem 1: 24 is increased to 42

Step 1: Find the increase → 42 - 24 = 18
Step 2: Divide by original → 18 ÷ 24 = 0.75
Step 3: Multiply by 100 → 0.75 × 100 = 75%

✔ Answer: 75%

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Problem 2: 22 is increased to 24.2

Step 1: Increase → 24.2 - 22 = 2.2
Step 2: Divide → 2.2 ÷ 22 = 0.1
Step 3: ×100 → 0.1 × 100 = 10%

✔ Answer: 10%

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Problem 3: 52 is increased to 62.4

Step 1: Increase → 62.4 - 52 = 10.4
Step 2: Divide → 10.4 ÷ 52 = 0.2
Step 3: ×100 → 0.2 × 100 = 20%

✔ Answer: 20%

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Problem 4: 12 is increased to 15

Step 1: Increase → 15 - 12 = 3
Step 2: Divide → 3 ÷ 12 = 0.25
Step 3: ×100 → 0.25 × 100 = 25%

✔ Answer: 25%

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Problem 5: 62 is increased to 68.2

Step 1: Increase → 68.2 - 62 = 6.2
Step 2: Divide → 6.2 ÷ 62 = 0.1
Step 3: ×100 → 0.1 × 100 = 10%

✔ Answer: 10%

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Problem 6: 81 is increased to 141.75

Step 1: Increase → 141.75 - 81 = 60.75
Step 2: Divide → 60.75 ÷ 81 = ?

Let’s do that division carefully:

60.75 ÷ 81

You can think of it as 6075 ÷ 8100 (multiply numerator and denominator by 100 to remove decimals)

But easier: 81 × 0.75 = 60.75 → so 60.75 ÷ 81 = 0.75

Step 3: ×100 → 0.75 × 100 = 75%

✔ Answer: 75%

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Problem 7: 51 is increased to 63.5

Step 1: Increase → 63.5 - 51 = 12.5
Step 2: Divide → 12.5 ÷ 51 ≈ ?

Let’s calculate:

12.5 ÷ 51 = ?

Do long division or use calculator logic:

51 × 0.245 = about 12.495 → close to 12.5

So approximately 0.2451

×100 → 24.51% → round to nearest tenth? The problem doesn’t specify, but let’s keep exact fraction.

Actually, 12.5 / 51 = 125/510 = 25/102 ≈ 0.245098...

So ≈ 24.5% if rounding to one decimal place.

But let’s check if it’s exact:

Wait — maybe we made a mistake? Let me recalculate:

63.5 - 51 = 12.5 → correct

12.5 ÷ 51 = ?

Multiply numerator and denominator by 2: 25 ÷ 102

25 ÷ 102 = 0.245098... → so 24.5098...%

In school problems like this, they often expect rounded answers or exact fractions. But since others were clean, maybe I miscalculated?

Wait — perhaps it’s meant to be 24.5%? Or maybe 25%? No, 51 × 1.25 = 63.75, which is more than 63.5.

So 63.5 ÷ 51 = 1.245098... → so increase is 24.5098...%

I think we should write 24.5% (rounded to one decimal place), unless instructed otherwise.

But let’s see the other numbers — some are exact, some aren’t. Since 12.5/51 doesn’t simplify nicely, we’ll go with 24.5%

✔ Answer: 24.5%

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Problem 8: 2 is increased to 2.4

Step 1: Increase → 2.4 - 2 = 0.4
Step 2: Divide → 0.4 ÷ 2 = 0.2
Step 3: ×100 → 0.2 × 100 = 20%

✔ Answer: 20%

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Final Answers:

- 24 → 42: 75%
- 22 → 24.2: 10%
- 52 → 62.4: 20%
- 12 → 15: 25%
- 62 → 68.2: 10%
- 81 → 141.75: 75%
- 51 → 63.5: 24.5%
- 2 → 2.4: 20%

All calculations double-checked.

Final Answer:
75%, 10%, 20%, 25%, 10%, 75%, 24.5%, 20%