Math worksheet for calculating percentages of numbers.
A math worksheet titled "Find The Percentage" with 30 problems asking to calculate percentages of given numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Find the Percentage Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Find the Percentage Worksheets
To solve the problems in the worksheet, we need to calculate the percentages of the given numbers. The formula to find a percentage of a number is:
\[
\text{Percentage of a number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Number}
\]
Let's solve each problem step by step.
---
\[
7\% \text{ of } 408 = \left( \frac{7}{100} \right) \times 408 = 0.07 \times 408 = 28.56
\]
\[
40\% \text{ of } 2 = \left( \frac{40}{100} \right) \times 2 = 0.4 \times 2 = 0.8
\]
\[
3\% \text{ of } 749 = \left( \frac{3}{100} \right) \times 749 = 0.03 \times 749 = 22.47
\]
\[
200\% \text{ of } 5 = \left( \frac{200}{100} \right) \times 5 = 2 \times 5 = 10
\]
\[
90\% \text{ of } 2 = \left( \frac{90}{100} \right) \times 2 = 0.9 \times 2 = 1.8
\]
\[
60\% \text{ of } 1 = \left( \frac{60}{100} \right) \times 1 = 0.6 \times 1 = 0.6
\]
\[
15\% \text{ of } 2 = \left( \frac{15}{100} \right) \times 2 = 0.15 \times 2 = 0.3
\]
\[
2\% \text{ of } 71 = \left( \frac{2}{100} \right) \times 71 = 0.02 \times 71 = 1.42
\]
\[
6\% \text{ of } 19 = \left( \frac{6}{100} \right) \times 19 = 0.06 \times 19 = 1.14
\]
\[
8\% \text{ of } 8 = \left( \frac{8}{100} \right) \times 8 = 0.08 \times 8 = 0.64
\]
\[
75\% \text{ of } 60 = \left( \frac{75}{100} \right) \times 60 = 0.75 \times 60 = 45
\]
\[
9\% \text{ of } 299 = \left( \frac{9}{100} \right) \times 299 = 0.09 \times 299 = 26.91
\]
\[
300\% \text{ of } 384 = \left( \frac{300}{100} \right) \times 384 = 3 \times 384 = 1152
\]
\[
90\% \text{ of } 53 = \left( \frac{90}{100} \right) \times 53 = 0.9 \times 53 = 47.7
\]
\[
3\% \text{ of } 765 = \left( \frac{3}{100} \right) \times 765 = 0.03 \times 765 = 22.95
\]
\[
30\% \text{ of } 12 = \left( \frac{30}{100} \right) \times 12 = 0.3 \times 12 = 3.6
\]
\[
15\% \text{ of } 395 = \left( \frac{15}{100} \right) \times 395 = 0.15 \times 395 = 59.25
\]
\[
4\% \text{ of } 260 = \left( \frac{4}{100} \right) \times 260 = 0.04 \times 260 = 10.4
\]
\[
10\% \text{ of } 96 = \left( \frac{10}{100} \right) \times 96 = 0.1 \times 96 = 9.6
\]
\[
25\% \text{ of } 87 = \left( \frac{25}{100} \right) \times 87 = 0.25 \times 87 = 21.75
\]
\[
100\% \text{ of } 681 = \left( \frac{100}{100} \right) \times 681 = 1 \times 681 = 681
\]
\[
70\% \text{ of } 4 = \left( \frac{70}{100} \right) \times 4 = 0.7 \times 4 = 2.8
\]
\[
40\% \text{ of } 200 = \left( \frac{40}{100} \right) \times 200 = 0.4 \times 200 = 80
\]
\[
6\% \text{ of } 13 = \left( \frac{6}{100} \right) \times 13 = 0.06 \times 13 = 0.78
\]
\[
80\% \text{ of } 423 = \left( \frac{80}{100} \right) \times 423 = 0.8 \times 423 = 338.4
\]
\[
20\% \text{ of } 925 = \left( \frac{20}{100} \right) \times 925 = 0.2 \times 925 = 185
\]
\[
5\% \text{ of } 8 = \left( \frac{5}{100} \right) \times 8 = 0.05 \times 8 = 0.4
\]
\[
7\% \text{ of } 24 = \left( \frac{7}{100} \right) \times 24 = 0.07 \times 24 = 1.68
\]
\[
200\% \text{ of } 97 = \left( \frac{200}{100} \right) \times 97 = 2 \times 97 = 194
\]
\[
35\% \text{ of } 6 = \left( \frac{35}{100} \right) \times 6 = 0.35 \times 6 = 2.1
\]
---
\[
\boxed{
\begin{array}{lll}
1. & 28.56 & 2. & 0.8 & 3. & 22.47 \\
4. & 10 & 5. & 1.8 & 6. & 0.6 \\
7. & 0.3 & 8. & 1.42 & 9. & 1.14 \\
10. & 0.64 & 11. & 45 & 12. & 26.91 \\
13. & 1152 & 14. & 47.7 & 15. & 22.95 \\
16. & 3.6 & 17. & 59.25 & 18. & 10.4 \\
19. & 9.6 & 20. & 21.75 & 21. & 681 \\
22. & 2.8 & 23. & 80 & 24. & 0.78 \\
25. & 338.4 & 26. & 185 & 27. & 0.4 \\
28. & 1.68 & 29. & 194 & 30. & 2.1 \\
\end{array}
}
\]
\[
\text{Percentage of a number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Number}
\]
Let's solve each problem step by step.
---
Problem 1: 7% of 408
\[
7\% \text{ of } 408 = \left( \frac{7}{100} \right) \times 408 = 0.07 \times 408 = 28.56
\]
Problem 2: 40% of 2
\[
40\% \text{ of } 2 = \left( \frac{40}{100} \right) \times 2 = 0.4 \times 2 = 0.8
\]
Problem 3: 3% of 749
\[
3\% \text{ of } 749 = \left( \frac{3}{100} \right) \times 749 = 0.03 \times 749 = 22.47
\]
Problem 4: 200% of 5
\[
200\% \text{ of } 5 = \left( \frac{200}{100} \right) \times 5 = 2 \times 5 = 10
\]
Problem 5: 90% of 2
\[
90\% \text{ of } 2 = \left( \frac{90}{100} \right) \times 2 = 0.9 \times 2 = 1.8
\]
Problem 6: 60% of 1
\[
60\% \text{ of } 1 = \left( \frac{60}{100} \right) \times 1 = 0.6 \times 1 = 0.6
\]
Problem 7: 15% of 2
\[
15\% \text{ of } 2 = \left( \frac{15}{100} \right) \times 2 = 0.15 \times 2 = 0.3
\]
Problem 8: 2% of 71
\[
2\% \text{ of } 71 = \left( \frac{2}{100} \right) \times 71 = 0.02 \times 71 = 1.42
\]
Problem 9: 6% of 19
\[
6\% \text{ of } 19 = \left( \frac{6}{100} \right) \times 19 = 0.06 \times 19 = 1.14
\]
Problem 10: 8% of 8
\[
8\% \text{ of } 8 = \left( \frac{8}{100} \right) \times 8 = 0.08 \times 8 = 0.64
\]
Problem 11: 75% of 60
\[
75\% \text{ of } 60 = \left( \frac{75}{100} \right) \times 60 = 0.75 \times 60 = 45
\]
Problem 12: 9% of 299
\[
9\% \text{ of } 299 = \left( \frac{9}{100} \right) \times 299 = 0.09 \times 299 = 26.91
\]
Problem 13: 300% of 384
\[
300\% \text{ of } 384 = \left( \frac{300}{100} \right) \times 384 = 3 \times 384 = 1152
\]
Problem 14: 90% of 53
\[
90\% \text{ of } 53 = \left( \frac{90}{100} \right) \times 53 = 0.9 \times 53 = 47.7
\]
Problem 15: 3% of 765
\[
3\% \text{ of } 765 = \left( \frac{3}{100} \right) \times 765 = 0.03 \times 765 = 22.95
\]
Problem 16: 30% of 12
\[
30\% \text{ of } 12 = \left( \frac{30}{100} \right) \times 12 = 0.3 \times 12 = 3.6
\]
Problem 17: 15% of 395
\[
15\% \text{ of } 395 = \left( \frac{15}{100} \right) \times 395 = 0.15 \times 395 = 59.25
\]
Problem 18: 4% of 260
\[
4\% \text{ of } 260 = \left( \frac{4}{100} \right) \times 260 = 0.04 \times 260 = 10.4
\]
Problem 19: 10% of 96
\[
10\% \text{ of } 96 = \left( \frac{10}{100} \right) \times 96 = 0.1 \times 96 = 9.6
\]
Problem 20: 25% of 87
\[
25\% \text{ of } 87 = \left( \frac{25}{100} \right) \times 87 = 0.25 \times 87 = 21.75
\]
Problem 21: 100% of 681
\[
100\% \text{ of } 681 = \left( \frac{100}{100} \right) \times 681 = 1 \times 681 = 681
\]
Problem 22: 70% of 4
\[
70\% \text{ of } 4 = \left( \frac{70}{100} \right) \times 4 = 0.7 \times 4 = 2.8
\]
Problem 23: 40% of 200
\[
40\% \text{ of } 200 = \left( \frac{40}{100} \right) \times 200 = 0.4 \times 200 = 80
\]
Problem 24: 6% of 13
\[
6\% \text{ of } 13 = \left( \frac{6}{100} \right) \times 13 = 0.06 \times 13 = 0.78
\]
Problem 25: 80% of 423
\[
80\% \text{ of } 423 = \left( \frac{80}{100} \right) \times 423 = 0.8 \times 423 = 338.4
\]
Problem 26: 20% of 925
\[
20\% \text{ of } 925 = \left( \frac{20}{100} \right) \times 925 = 0.2 \times 925 = 185
\]
Problem 27: 5% of 8
\[
5\% \text{ of } 8 = \left( \frac{5}{100} \right) \times 8 = 0.05 \times 8 = 0.4
\]
Problem 28: 7% of 24
\[
7\% \text{ of } 24 = \left( \frac{7}{100} \right) \times 24 = 0.07 \times 24 = 1.68
\]
Problem 29: 200% of 97
\[
200\% \text{ of } 97 = \left( \frac{200}{100} \right) \times 97 = 2 \times 97 = 194
\]
Problem 30: 35% of 6
\[
35\% \text{ of } 6 = \left( \frac{35}{100} \right) \times 6 = 0.35 \times 6 = 2.1
\]
---
Final Answers:
\[
\boxed{
\begin{array}{lll}
1. & 28.56 & 2. & 0.8 & 3. & 22.47 \\
4. & 10 & 5. & 1.8 & 6. & 0.6 \\
7. & 0.3 & 8. & 1.42 & 9. & 1.14 \\
10. & 0.64 & 11. & 45 & 12. & 26.91 \\
13. & 1152 & 14. & 47.7 & 15. & 22.95 \\
16. & 3.6 & 17. & 59.25 & 18. & 10.4 \\
19. & 9.6 & 20. & 21.75 & 21. & 681 \\
22. & 2.8 & 23. & 80 & 24. & 0.78 \\
25. & 338.4 & 26. & 185 & 27. & 0.4 \\
28. & 1.68 & 29. & 194 & 30. & 2.1 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of percentages worksheet year 8.