Finding Percents of a Number (A) - Free Printable
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Step-by-step solution for: Finding Percents of a Number (A)
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Show Answer Key & Explanations
Step-by-step solution for: Finding Percents of a Number (A)
To solve the problem of finding the value of each percent, we need to calculate the percentage of each given number. The formula to find a percentage of a number is:
\[
\text{Percentage of a Number} = \left( \frac{\text{Percent}}{100} \right) \times \text{Number}
\]
Let's go through each calculation step by step.
1. 35% of 31:
\[
\frac{35}{100} \times 31 = 0.35 \times 31 = 10.85
\]
2. 36% of 74:
\[
\frac{36}{100} \times 74 = 0.36 \times 74 = 26.64
\]
3. 64% of 41:
\[
\frac{64}{100} \times 41 = 0.64 \times 41 = 26.24
\]
4. 33% of 40:
\[
\frac{33}{100} \times 40 = 0.33 \times 40 = 13.2
\]
5. 91% of 5:
\[
\frac{91}{100} \times 5 = 0.91 \times 5 = 4.55
\]
6. 96% of 19:
\[
\frac{96}{100} \times 19 = 0.96 \times 19 = 18.24
\]
7. 31% of 97:
\[
\frac{31}{100} \times 97 = 0.31 \times 97 = 30.07
\]
8. 18% of 43:
\[
\frac{18}{100} \times 43 = 0.18 \times 43 = 7.74
\]
9. 39% of 1:
\[
\frac{39}{100} \times 1 = 0.39 \times 1 = 0.39
\]
10. 17% of 67:
\[
\frac{17}{100} \times 67 = 0.17 \times 67 = 11.39
\]
11. 59% of 3:
\[
\frac{59}{100} \times 3 = 0.59 \times 3 = 1.77
\]
12. 10% of 34:
\[
\frac{10}{100} \times 34 = 0.10 \times 34 = 3.4
\]
13. 13% of 14:
\[
\frac{13}{100} \times 14 = 0.13 \times 14 = 1.82
\]
14. 68% of 69:
\[
\frac{68}{100} \times 69 = 0.68 \times 69 = 46.92
\]
15. 98% of 88:
\[
\frac{98}{100} \times 88 = 0.98 \times 88 = 86.24
\]
16. 13% of 25:
\[
\frac{13}{100} \times 25 = 0.13 \times 25 = 3.25
\]
17. 81% of 29:
\[
\frac{81}{100} \times 29 = 0.81 \times 29 = 23.49
\]
18. 8% of 35:
\[
\frac{8}{100} \times 35 = 0.08 \times 35 = 2.8
\]
19. 28% of 75:
\[
\frac{28}{100} \times 75 = 0.28 \times 75 = 21
\]
20. 67% of 10:
\[
\frac{67}{100} \times 10 = 0.67 \times 10 = 6.7
\]
21. 91% of 61:
\[
\frac{91}{100} \times 61 = 0.91 \times 61 = 55.51
\]
22. 40% of 4:
\[
\frac{40}{100} \times 4 = 0.40 \times 4 = 1.6
\]
23. 71% of 68:
\[
\frac{71}{100} \times 68 = 0.71 \times 68 = 48.28
\]
24. 14% of 1:
\[
\frac{14}{100} \times 1 = 0.14 \times 1 = 0.14
\]
25. 6% of 33:
\[
\frac{6}{100} \times 33 = 0.06 \times 33 = 1.98
\]
26. 57% of 15:
\[
\frac{57}{100} \times 15 = 0.57 \times 15 = 8.55
\]
27. 57% of 28:
\[
\frac{57}{100} \times 28 = 0.57 \times 28 = 15.96
\]
28. 41% of 28:
\[
\frac{41}{100} \times 28 = 0.41 \times 28 = 11.48
\]
29. 40% of 73:
\[
\frac{40}{100} \times 73 = 0.40 \times 73 = 29.2
\]
30. 49% of 75:
\[
\frac{49}{100} \times 75 = 0.49 \times 75 = 36.75
\]
31. 34% of 19:
\[
\frac{34}{100} \times 19 = 0.34 \times 19 = 6.46
\]
32. 29% of 9:
\[
\frac{29}{100} \times 9 = 0.29 \times 9 = 2.61
\]
33. 60% of 22:
\[
\frac{60}{100} \times 22 = 0.60 \times 22 = 13.2
\]
34. 82% of 29:
\[
\frac{82}{100} \times 29 = 0.82 \times 29 = 23.78
\]
35. 43% of 80:
\[
\frac{43}{100} \times 80 = 0.43 \times 80 = 34.4
\]
36. 57% of 30:
\[
\frac{57}{100} \times 30 = 0.57 \times 30 = 17.1
\]
37. 41% of 52:
\[
\frac{41}{100} \times 52 = 0.41 \times 52 = 21.32
\]
38. 35% of 46:
\[
\frac{35}{100} \times 46 = 0.35 \times 46 = 16.1
\]
39. 68% of 98:
\[
\frac{68}{100} \times 98 = 0.68 \times 98 = 66.64
\]
40. 71% of 38:
\[
\frac{71}{100} \times 38 = 0.71 \times 38 = 26.98
\]
\[
\boxed{
\begin{array}{cccc}
10.85 & 26.64 & 26.24 & 13.2 \\
4.55 & 18.24 & 30.07 & 7.74 \\
0.39 & 11.39 & 1.77 & 3.4 \\
1.82 & 46.92 & 86.24 & 3.25 \\
23.49 & 2.8 & 21 & 6.7 \\
55.51 & 1.6 & 48.28 & 0.14 \\
1.98 & 8.55 & 15.96 & 11.48 \\
29.2 & 36.75 & 6.46 & 2.61 \\
13.2 & 23.78 & 34.4 & 17.1 \\
21.32 & 16.1 & 66.64 & 26.98 \\
\end{array}
}
\]
\[
\text{Percentage of a Number} = \left( \frac{\text{Percent}}{100} \right) \times \text{Number}
\]
Let's go through each calculation step by step.
First Row:
1. 35% of 31:
\[
\frac{35}{100} \times 31 = 0.35 \times 31 = 10.85
\]
2. 36% of 74:
\[
\frac{36}{100} \times 74 = 0.36 \times 74 = 26.64
\]
3. 64% of 41:
\[
\frac{64}{100} \times 41 = 0.64 \times 41 = 26.24
\]
4. 33% of 40:
\[
\frac{33}{100} \times 40 = 0.33 \times 40 = 13.2
\]
Second Row:
5. 91% of 5:
\[
\frac{91}{100} \times 5 = 0.91 \times 5 = 4.55
\]
6. 96% of 19:
\[
\frac{96}{100} \times 19 = 0.96 \times 19 = 18.24
\]
7. 31% of 97:
\[
\frac{31}{100} \times 97 = 0.31 \times 97 = 30.07
\]
8. 18% of 43:
\[
\frac{18}{100} \times 43 = 0.18 \times 43 = 7.74
\]
Third Row:
9. 39% of 1:
\[
\frac{39}{100} \times 1 = 0.39 \times 1 = 0.39
\]
10. 17% of 67:
\[
\frac{17}{100} \times 67 = 0.17 \times 67 = 11.39
\]
11. 59% of 3:
\[
\frac{59}{100} \times 3 = 0.59 \times 3 = 1.77
\]
12. 10% of 34:
\[
\frac{10}{100} \times 34 = 0.10 \times 34 = 3.4
\]
Fourth Row:
13. 13% of 14:
\[
\frac{13}{100} \times 14 = 0.13 \times 14 = 1.82
\]
14. 68% of 69:
\[
\frac{68}{100} \times 69 = 0.68 \times 69 = 46.92
\]
15. 98% of 88:
\[
\frac{98}{100} \times 88 = 0.98 \times 88 = 86.24
\]
16. 13% of 25:
\[
\frac{13}{100} \times 25 = 0.13 \times 25 = 3.25
\]
Fifth Row:
17. 81% of 29:
\[
\frac{81}{100} \times 29 = 0.81 \times 29 = 23.49
\]
18. 8% of 35:
\[
\frac{8}{100} \times 35 = 0.08 \times 35 = 2.8
\]
19. 28% of 75:
\[
\frac{28}{100} \times 75 = 0.28 \times 75 = 21
\]
20. 67% of 10:
\[
\frac{67}{100} \times 10 = 0.67 \times 10 = 6.7
\]
Sixth Row:
21. 91% of 61:
\[
\frac{91}{100} \times 61 = 0.91 \times 61 = 55.51
\]
22. 40% of 4:
\[
\frac{40}{100} \times 4 = 0.40 \times 4 = 1.6
\]
23. 71% of 68:
\[
\frac{71}{100} \times 68 = 0.71 \times 68 = 48.28
\]
24. 14% of 1:
\[
\frac{14}{100} \times 1 = 0.14 \times 1 = 0.14
\]
Seventh Row:
25. 6% of 33:
\[
\frac{6}{100} \times 33 = 0.06 \times 33 = 1.98
\]
26. 57% of 15:
\[
\frac{57}{100} \times 15 = 0.57 \times 15 = 8.55
\]
27. 57% of 28:
\[
\frac{57}{100} \times 28 = 0.57 \times 28 = 15.96
\]
28. 41% of 28:
\[
\frac{41}{100} \times 28 = 0.41 \times 28 = 11.48
\]
Eighth Row:
29. 40% of 73:
\[
\frac{40}{100} \times 73 = 0.40 \times 73 = 29.2
\]
30. 49% of 75:
\[
\frac{49}{100} \times 75 = 0.49 \times 75 = 36.75
\]
31. 34% of 19:
\[
\frac{34}{100} \times 19 = 0.34 \times 19 = 6.46
\]
32. 29% of 9:
\[
\frac{29}{100} \times 9 = 0.29 \times 9 = 2.61
\]
Ninth Row:
33. 60% of 22:
\[
\frac{60}{100} \times 22 = 0.60 \times 22 = 13.2
\]
34. 82% of 29:
\[
\frac{82}{100} \times 29 = 0.82 \times 29 = 23.78
\]
35. 43% of 80:
\[
\frac{43}{100} \times 80 = 0.43 \times 80 = 34.4
\]
36. 57% of 30:
\[
\frac{57}{100} \times 30 = 0.57 \times 30 = 17.1
\]
Tenth Row:
37. 41% of 52:
\[
\frac{41}{100} \times 52 = 0.41 \times 52 = 21.32
\]
38. 35% of 46:
\[
\frac{35}{100} \times 46 = 0.35 \times 46 = 16.1
\]
39. 68% of 98:
\[
\frac{68}{100} \times 98 = 0.68 \times 98 = 66.64
\]
40. 71% of 38:
\[
\frac{71}{100} \times 38 = 0.71 \times 38 = 26.98
\]
Final Answer:
\[
\boxed{
\begin{array}{cccc}
10.85 & 26.64 & 26.24 & 13.2 \\
4.55 & 18.24 & 30.07 & 7.74 \\
0.39 & 11.39 & 1.77 & 3.4 \\
1.82 & 46.92 & 86.24 & 3.25 \\
23.49 & 2.8 & 21 & 6.7 \\
55.51 & 1.6 & 48.28 & 0.14 \\
1.98 & 8.55 & 15.96 & 11.48 \\
29.2 & 36.75 & 6.46 & 2.61 \\
13.2 & 23.78 & 34.4 & 17.1 \\
21.32 & 16.1 & 66.64 & 26.98 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of find percent of a number worksheet.