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Printable math worksheet for finding the whole from a percentage.

Math worksheet titled "Find the Whole From a Percentage" with 17 problems asking students to calculate the whole number given a percentage and part.

Math worksheet titled "Find the Whole From a Percentage" with 17 problems asking students to calculate the whole number given a percentage and part.

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Show Answer Key & Explanations Step-by-step solution for: Find the Whole From a Percentage Worksheet | Teach Starter
Let’s solve each problem step by step.

We are given: “X is Y% of ___” → We need to find the whole number that X is Y percent of.

The formula is:
> Whole = Part ÷ (Percent as a decimal)

Or, in simpler terms:
> Divide the part by the percentage (written as a decimal).

Example:
“5 is 10% of ___”
→ 10% = 0.10
→ 5 ÷ 0.10 = 50

Let’s go one by one:

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1) 5 is 10% of:
10% = 0.10
5 ÷ 0.10 = 50

2) 45 is 25% of:
25% = 0.25
45 ÷ 0.25 = 180

3) 20 is 50% of:
50% = 0.50
20 ÷ 0.50 = 40

4) 9 is 90% of:
90% = 0.90
9 ÷ 0.90 = 10

5) 27 is 30% of:
30% = 0.30
27 ÷ 0.30 = 90

6) 6 is 15% of:
15% = 0.15
6 ÷ 0.15 = 40

7) 80 is 40% of:
40% = 0.40
80 ÷ 0.40 = 200

8) 70 is 5% of:
5% = 0.05
70 ÷ 0.05 = 1400

9) 100 is 80% of:
80% = 0.80
100 ÷ 0.80 = 125

10) 9 is 25% of:
25% = 0.25
9 ÷ 0.25 = 36

11) 45 is 30% of:
30% = 0.30
45 ÷ 0.30 = 150

12) 90 is 75% of:
75% = 0.75
90 ÷ 0.75 = 120

13) 12 is 15% of:
15% = 0.15
12 ÷ 0.15 = 80

14) 55 is 100% of:
100% = 1.00
55 ÷ 1.00 = 55

15) 85 is 10% of:
10% = 0.10
85 ÷ 0.10 = 850

16) 108 is 60% of:
60% = 0.60
108 ÷ 0.60 = 180

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Now, let’s double-check a few tricky ones:

- #8: 70 ÷ 0.05 → 70 ÷ (5/100) = 70 × (100/5) = 70 × 20 = 1400
- #12: 90 ÷ 0.75 → 90 ÷ (3/4) = 90 × (4/3) = 120
- #16: 108 ÷ 0.6 → 108 ÷ (6/10) = 108 × (10/6) = 18 × 10 = 180

All look correct.

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Final Answer:
1) 50
2) 180
3) 40
4) 10
5) 90
6) 40
7) 200
8) 1400
9) 125
10) 36
11) 150
12) 120
13) 80
14) 55
15) 850
16) 180
Parent Tip: Review the logic above to help your child master the concept of finding percents worksheet.
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