Let’s solve each percentage problem step by step. Remember: to find a percentage of a number, you multiply the number by the percentage written as a decimal (divide the percent by 100).
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1a. 52% of 210
→ 52 ÷ 100 = 0.52
→ 0.52 × 210 =
109.2
1b. 35% of 500
→ 35 ÷ 100 = 0.35
→ 0.35 × 500 =
175
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2a. 56% of 838
→ 56 ÷ 100 = 0.56
→ 0.56 × 838 = let’s calculate:
0.56 × 800 = 448
0.56 × 38 = 21.28
Total = 448 + 21.28 =
469.28
2b. 88% of 915
→ 88 ÷ 100 = 0.88
→ 0.88 × 915 =
0.88 × 900 = 792
0.88 × 15 = 13.2
Total = 792 + 13.2 =
805.2
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3a. 28% of 866
→ 28 ÷ 100 = 0.28
→ 0.28 × 866 =
0.28 × 800 = 224
0.28 × 66 = 18.48
Total = 224 + 18.48 =
242.48
3b. 69% of 49
→ 69 ÷ 100 = 0.69
→ 0.69 × 49 =
0.69 × 50 = 34.5 → minus 0.69 = 34.5 - 0.69 =
33.81
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4a. 50% of 780
→ Half of 780 =
390
4b. 85% of 994
→ 85 ÷ 100 = 0.85
→ 0.85 × 994 =
0.85 × 1000 = 850 → minus 0.85 × 6 = 5.1 → 850 - 5.1 =
844.9
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5a. 32% of 881
→ 32 ÷ 100 = 0.32
→ 0.32 × 881 =
0.32 × 800 = 256
0.32 × 81 = 25.92
Total = 256 + 25.92 =
281.92
5b. 39% of 719
→ 39 ÷ 100 = 0.39
→ 0.39 × 719 =
0.39 × 700 = 273
0.39 × 19 = 7.41
Total = 273 + 7.41 =
280.41
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6a. 35% of 441
→ 35 ÷ 100 = 0.35
→ 0.35 × 441 =
0.35 × 400 = 140
0.35 × 41 = 14.35
Total = 140 + 14.35 =
154.35
6b. 67% of 429
→ 67 ÷ 100 = 0.67
→ 0.67 × 429 =
0.67 × 400 = 268
0.67 × 29 = 19.43
Total = 268 + 19.43 =
287.43
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7a. 21% of 358
→ 21 ÷ 100 = 0.21
→ 0.21 × 358 =
0.21 × 300 = 63
0.21 × 58 = 12.18
Total = 63 + 12.18 =
75.18
7b. 47% of 6
→ 47 ÷ 100 = 0.47
→ 0.47 × 6 =
2.82
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8a. 67% of 811
→ 67 ÷ 100 = 0.67
→ 0.67 × 811 =
0.67 × 800 = 536
0.67 × 11 = 7.37
Total = 536 + 7.37 =
543.37
8b. 97% of 311
→ 97 ÷ 100 = 0.97
→ 0.97 × 311 =
0.97 × 300 = 291
0.97 × 11 = 10.67
Total = 291 + 10.67 =
301.67
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Final Answer:
1a. 109.2
1b. 175
2a. 469.28
2b. 805.2
3a. 242.48
3b. 33.81
4a. 390
4b. 844.9
5a. 281.92
5b. 280.41
6a. 154.35
6b. 287.43
7a. 75.18
7b. 2.82
8a. 543.37
8b. 301.67
Parent Tip: Review the logic above to help your child master the concept of math percentage problems.
