Let’s solve each percentage problem step by step.
To find a percentage of a number, you multiply the number by the percentage (as a decimal).
For example: 52% of 210 → convert 52% to 0.52 → then do 0.52 × 210.
We’ll go one by one:
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1a. 52% of 210
→ 52% = 0.52
→ 0.52 × 210 = ?
Break it down:
0.50 × 210 = 105
0.02 × 210 = 4.2
Add them: 105 + 4.2 =
109.2
1b. 35% of 500
→ 35% = 0.35
→ 0.35 × 500 = ?
Think: 35 × 5 = 175 → so 0.35 × 500 =
175
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2a. 56% of 838
→ 56% = 0.56
→ 0.56 × 838
First, 0.50 × 838 = 419
Then, 0.06 × 838 = 50.28
Add: 419 + 50.28 =
469.28
2b. 88% of 915
→ 88% = 0.88
→ 0.88 × 915
Do 0.80 × 915 = 732
Then 0.08 × 915 = 73.2
Add: 732 + 73.2 =
805.2
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3a. 28% of 866
→ 28% = 0.28
→ 0.28 × 866
0.20 × 866 = 173.2
0.08 × 866 = 69.28
Add: 173.2 + 69.28 =
242.48
3b. 69% of 49
→ 69% = 0.69
→ 0.69 × 49
Do 0.70 × 49 = 34.3 → subtract 0.01 × 49 = 0.49 → 34.3 - 0.49 =
33.81
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4a. 50% of 780
→ Half of 780 =
390
4b. 85% of 994
→ 85% = 0.85
→ 0.85 × 994
Do 0.80 × 994 = 795.2
Then 0.05 × 994 = 49.7
Add: 795.2 + 49.7 =
844.9
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5a. 32% of 881
→ 32% = 0.32
→ 0.32 × 881
0.30 × 881 = 264.3
0.02 × 881 = 17.62
Add: 264.3 + 17.62 =
281.92
5b. 39% of 719
→ 39% = 0.39
→ 0.39 × 719
0.40 × 719 = 287.6 → subtract 0.01 × 719 = 7.19 → 287.6 - 7.19 =
280.41
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6a. 35% of 441
→ 35% = 0.35
→ 0.35 × 441
0.30 × 441 = 132.3
0.05 × 441 = 22.05
Add: 132.3 + 22.05 =
154.35
6b. 67% of 429
→ 67% = 0.67
→ 0.67 × 429
0.60 × 429 = 257.4
0.07 × 429 = 30.03
Add: 257.4 + 30.03 =
287.43
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7a. 21% of 358
→ 21% = 0.21
→ 0.21 × 358
0.20 × 358 = 71.6
0.01 × 358 = 3.58
Add: 71.6 + 3.58 =
75.18
7b. 47% of 6
→ 47% = 0.47
→ 0.47 × 6 =
2.82
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8a. 67% of 811
→ 67% = 0.67
→ 0.67 × 811
0.60 × 811 = 486.6
0.07 × 811 = 56.77
Add: 486.6 + 56.77 =
543.37
8b. 97% of 311
→ 97% = 0.97
→ 0.97 × 311
Do 1.00 × 311 = 311 → subtract 0.03 × 311 = 9.33 → 311 - 9.33 =
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 estimating percentages worksheet.
