Let's solve each of these percentage problems step by step.
To find the
percent of a number, we use the formula:
$$
\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$
We'll calculate each one and round to the nearest hundredth (i.e., two decimal places).
---
1. 14 out of 200
$$
\frac{14}{200} \times 100 = 0.07 \times 100 = 7.00\%
$$
---
2. 13 out of 200
$$
\frac{13}{200} \times 100 = 0.065 \times 100 = 6.50\%
$$
---
3. 25 out of 110
$$
\frac{25}{110} \times 100 \approx 0.22727 \times 100 = 22.73\%
$$
---
4. 14 out of 210
$$
\frac{14}{210} \times 100 \approx 0.06667 \times 100 = 6.67\%
$$
---
5. 21 out of 150
$$
\frac{21}{150} \times 100 = 0.14 \times 100 = 14.00\%
$$
---
6. 35 out of 180
$$
\frac{35}{180} \times 100 \approx 0.19444 \times 100 = 19.44\%
$$
---
7. 15 out of 260
$$
\frac{15}{260} \times 100 \approx 0.05769 \times 100 = 5.77\%
$$
---
8. 14 out of 270
$$
\frac{14}{270} \times 100 \approx 0.05185 \times 100 = 5.19\%
$$
---
9. 17 out of 250
$$
\frac{17}{250} \times 100 = 0.068 \times 100 = 6.80\%
$$
---
10. 20 out of 310
$$
\frac{20}{310} \times 100 \approx 0.06452 \times 100 = 6.45\%
$$
---
11. 55 out of 105
$$
\frac{55}{105} \times 100 \approx 0.52381 \times 100 = 52.38\%
$$
---
12. 24 out of 340
$$
\frac{24}{340} \times 100 \approx 0.07059 \times 100 = 7.06\%
$$
---
13. 25 out of 240
$$
\frac{25}{240} \times 100 \approx 0.10417 \times 100 = 10.42\%
$$
---
14. 18 out of 380
$$
\frac{18}{380} \times 100 \approx 0.04737 \times 100 = 4.74\%
$$
---
15. 72 out of 200
$$
\frac{72}{200} \times 100 = 0.36 \times 100 = 36.00\%
$$
---
16. 99 out of 250
$$
\frac{99}{250} \times 100 = 0.396 \times 100 = 39.60\%
$$
---
17. 45 out of 130
$$
\frac{45}{130} \times 100 \approx 0.34615 \times 100 = 34.62\%
$$
---
18. 75 out of 500
$$
\frac{75}{500} \times 100 = 0.15 \times 100 = 15.00\%
$$
---
19. 28 out of 420
$$
\frac{28}{420} \times 100 \approx 0.06667 \times 100 = 6.67\%
$$
---
20. 15 out of 210
$$
\frac{15}{210} \times 100 \approx 0.07143 \times 100 = 7.14\%
$$
---
✔ Final Answers (Rounded to Nearest Hundredth):
| Problem | Percent |
|--------|---------|
| 14 out of 200 |
7.00% |
| 13 out of 200 |
6.50% |
| 25 out of 110 |
22.73% |
| 14 out of 210 |
6.67% |
| 21 out of 150 |
14.00% |
| 35 out of 180 |
19.44% |
| 15 out of 260 |
5.77% |
| 14 out of 270 |
5.19% |
| 17 out of 250 |
6.80% |
| 20 out of 310 |
6.45% |
| 55 out of 105 |
52.38% |
| 24 out of 340 |
7.06% |
| 25 out of 240 |
10.42% |
| 18 out of 380 |
4.74% |
| 72 out of 200 |
36.00% |
| 99 out of 250 |
39.60% |
| 45 out of 130 |
34.62% |
| 75 out of 500 |
15.00% |
| 28 out of 420 |
6.67% |
| 15 out of 210 |
7.14% |
---
✔ Explanation:
Each problem is solved using the basic percent formula:
$$
\text{Percent} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
$$
Then, we round the result to two decimal places (nearest hundredth). This helps ensure accuracy and consistency in reporting percentages.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of finding percentages worksheet for 6th.
