Let’s solve each problem step by step.
We are given: “X is Y% of ___” → We need to find the whole number that X is Y percent of.
The formula is:
> Whole = Part ÷ (Percent as a decimal)
Or, in simpler terms:
> Divide the part by the percentage (written as a decimal).
Example:
“5 is 10% of ___”
→ 10% = 0.10
→ 5 ÷ 0.10 = 50
Let’s go one by one:
---
1) 5 is 10% of:
10% = 0.10
5 ÷ 0.10 =
50
2) 45 is 25% of:
25% = 0.25
45 ÷ 0.25 =
180
3) 20 is 50% of:
50% = 0.50
20 ÷ 0.50 =
40
4) 9 is 90% of:
90% = 0.90
9 ÷ 0.90 =
10
5) 27 is 30% of:
30% = 0.30
27 ÷ 0.30 =
90
6) 6 is 15% of:
15% = 0.15
6 ÷ 0.15 =
40
7) 80 is 40% of:
40% = 0.40
80 ÷ 0.40 =
200
8) 70 is 5% of:
5% = 0.05
70 ÷ 0.05 =
1400
9) 100 is 80% of:
80% = 0.80
100 ÷ 0.80 =
125
10) 9 is 25% of:
25% = 0.25
9 ÷ 0.25 =
36
11) 45 is 30% of:
30% = 0.30
45 ÷ 0.30 =
150
12) 90 is 75% of:
75% = 0.75
90 ÷ 0.75 =
120
13) 12 is 15% of:
15% = 0.15
12 ÷ 0.15 =
80
14) 55 is 100% of:
100% = 1.00
55 ÷ 1.00 =
55
15) 85 is 10% of:
10% = 0.10
85 ÷ 0.10 =
850
16) 108 is 60% of:
60% = 0.60
108 ÷ 0.60 =
180
---
Now, let’s double-check a few tricky ones:
- #8: 70 ÷ 0.05 → 70 ÷ (5/100) = 70 × (100/5) = 70 × 20 = 1400
✔
- #12: 90 ÷ 0.75 → 90 ÷ (3/4) = 90 × (4/3) = 120
✔
- #16: 108 ÷ 0.6 → 108 ÷ (6/10) = 108 × (10/6) = 18 × 10 = 180
✔
All look correct.
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Final Answer:
1) 50
2) 180
3) 40
4) 10
5) 90
6) 40
7) 200
8) 1400
9) 125
10) 36
11) 150
12) 120
13) 80
14) 55
15) 850
16) 180
Parent Tip: Review the logic above to help your child master the concept of finding percents worksheet.