Sure! Let’s solve each of the 10 percent problems step by step. The goal is to find the missing number in each equation.
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General Rule:
- If you’re given “X% of ___ = Y”, then:
>
Missing number = Y ÷ (X/100) = Y × (100/X)
- If you’re given “___% of X = Y”, then:
>
Missing percent = (Y ÷ X) × 100
- If you’re given “X% of Y = ___”, then:
>
Missing number = (X/100) × Y
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Problem 1: ___ of 50 = 45.5
This means: What percent of 50 equals 45.5?
→ Percent = (45.5 ÷ 50) × 100 = 0.91 × 100 =
91%
✔ Answer: 91
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Problem 2: 59% of ___ = 23.6
→ Missing number = 23.6 ÷ (59/100) = 23.6 × (100/59)
Let’s calculate:
23.6 ÷ 59 = 0.4 → 0.4 × 100 =
40
✔ Answer: 40
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Problem 3: 81% of ___ = 40.5
→ Missing number = 40.5 ÷ (81/100) = 40.5 × (100/81)
40.5 ÷ 81 = 0.5 → 0.5 × 100 =
50
✔ Answer: 50
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Problem 4: 75% of ___ = 15
→ Missing number = 15 ÷ (75/100) = 15 × (100/75) = 15 × (4/3) =
20
✔ Answer: 20
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Problem 5: ___ of 3 = 1.8
→ Percent = (1.8 ÷ 3) × 100 = 0.6 × 100 =
60%
✔ Answer: 60
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Problem 6: 56% of ___ = 3.92
→ Missing number = 3.92 ÷ (56/100) = 3.92 × (100/56)
3.92 ÷ 56 = 0.07 → 0.07 × 100 =
7
✔ Answer: 7
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Problem 7: 69% of 30 = ___
→ Missing number = (69/100) × 30 = 0.69 × 30 =
20.7
✔ Answer: 20.7
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Problem 8: 29% of ___ = 26.1
→ Missing number = 26.1 ÷ (29/100) = 26.1 × (100/29)
26.1 ÷ 29 = 0.9 → 0.9 × 100 =
90
✔ Answer: 90
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Problem 9: ___ of 20 = 6.2
→ Percent = (6.2 ÷ 20) × 100 = 0.31 × 100 =
31%
✔ Answer: 31
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Problem 10: 82% of 10 = ___
→ Missing number = (82/100) × 10 = 0.82 × 10 =
8.2
✔ Answer: 8.2
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✔ Final Answers:
1.
91
2.
40
3.
50
4.
20
5.
60
6.
7
7.
20.7
8.
90
9.
31
10.
8.2
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Let me know if you’d like a visual explanation or want to practice more! 😊
Parent Tip: Review the logic above to help your child master the concept of maths percentage worksheet.
