Find Percent of a Quantity - 6th Grade Math

1. What is $15\%$ of $60$?

   $9$. Calculate $\frac{15}{100} \times 60 = 0.15 \times 60$.

2. Find the part $P$: $P=\frac{35}{100}\times 200$.

   $70$. $P = 0.35 \times 200 = 70$.

3. What is $12\%$ of $25$?

   $3$. $0.12 \times 25 = 3$.

4. What is $25\%$ of $80$?

   $20$. Calculate $\frac{25}{100} \times 80 = \frac{1}{4} \times 80$.

5. What fraction out of $100$ is equivalent to $30\%$?

   $\frac{30}{100}$. Percent literally means 'out of 100'.

6. What is the whole number if $12.5\%$ of it is $9$?

   $72$. If $12.5\%$ of $W = 9$, then $W = 9 \div 0.125 = 9 \times 8$.

7. What is $5\%$ of $200$?

   $10$. $0.05 \times 200 = 10$.

8. State the equation for finding the part when the whole is $W$ and the percent is $p\%$.

   $P=\frac{p}{100}W$. To find part of a whole, multiply the whole by the percent as a fraction.

9. What is $15\%$ of $80$?

   $12$. $0.15 \times 80 = 12$.

10. What is the whole number if $25\%$ of it is $18$?

    $72$. If $25\%$ of $W = 18$, then $W = 18 \div 0.25 = 18 \times 4$.

11. What fraction is equivalent to $25\%$ in simplest form?

    $\frac{1}{4}$. $25\% = \frac{25}{100} = \frac{1}{4}$ when simplified.

12. Find the whole $W$: $\frac{20}{100}\times W=14$.

    $70$. $W = \frac{14}{0.20} = 70$.

13. What is $12.5\%$ of $80$?

    $10$. One-eighth of 80: $\frac{12.5}{100} \times 80 = \frac{1}{8} \times 80$.

14. State the equation for finding the part when the whole is $W$ and the percent is $p\%$.

    $\text{part}=\frac{p}{100}W$. To find part of a whole, multiply the whole by the percent as a fraction.

15. What percent of $50$ is $5$?

    $10\%$. Find $\frac{5}{50} = \frac{1}{10} = $0.1$ = 10\%$

16. What decimal is equivalent to $p\%$?

    $\frac{p}{100}$. Move the decimal point two places left to convert percent to decimal.

17. What is $30\%$ of $50$?

    $15$. Calculate $\frac{30}{100} \times 50 = 0.3 \times 50$.

18. State the equation for the whole $W$ when the part is $P$ and the percent is $p\%$.

    $W=\frac{P}{\frac{p}{100}}$. To find the whole, divide the part by the percent as a fraction.

19. What is $40\%$ of $90$?

    $36$. $0.40 \times 90 = 36$.

20. What is $12\%$ of $50$?

    $6$. Calculate $\frac{12}{100} \times 50 = 0.12 \times 50$.

21. What is $1\%$ of $600$?

    $6$. $0.01 \times 600 = 6$.

22. What is $75\%$ of $60$?

    $45$. Three-fourths of 60: $\frac{75}{100} \times 60 = \frac{3}{4} \times 60$.

23. What is $30\%$ of $70$?

    $21$. Calculate $\frac{30}{100} \times 70 = \frac{3}{10} \times 70$.

24. What decimal is equivalent to $30\%$?

    $0.30$. Move the decimal point two places left: $30\% = 30 ÷ 100 = 0.30$.

25. What decimal is equivalent to $p\%$ for multiplying by a whole number?

    $\frac{p}{100}$. Convert percent to decimal by dividing by 100.

26. What whole number has $18$ as $30\%$ of it?

    $60$. $18 ÷ 0.30 = 60$.

27. What whole number has $9$ as $12\%$ of it?

    $75$. $9 ÷ 0.12 = 75$.

28. What is $40\%$ of $120$?

    $48$. Calculate $\frac{40}{100} \times 120 = \frac{2}{5} \times 120$.

29. State the equation for finding the whole $W$ when the part is $P$ and the percent is $p\%$.

    $W=\frac{P}{\frac{p}{100}}$. To find the whole, divide the part by the percent expressed as a fraction.

30. What does $p\%$ of a quantity $q$ mean when percent is treated as a rate per $100$?

    $\frac{p}{100}\times q$. Percent means 'per hundred', so multiply by the fraction $\frac{p}{100}$.

31. What percent of $80$ is $20$?

    $25\%$. Find $\frac{20}{80} = \frac{1}{4} = 0.25 = 25\%$.

32. What is $20\%$ of $45$?

    $9$. Calculate $\frac{20}{100} \times 45 = \frac{1}{5} \times 45$.

33. What whole number has $20$ as $25\%$ of it?

    $80$. $20 ÷ 0.25 = 80$.

34. What is $1\%$ of $300$?

    $3$. One percent means divide by 100: $300 \div 100 = 3$.

35. What fraction is equivalent to $p\%$?

    $\frac{p}{100}$. Percent means 'out of 100', so $p\%$ equals $\frac{p}{100}$.

36. Identify the missing value: $\frac{p}{100}\times 60=24$. What is $p$?

    $40$. $\frac{p}{100} = \frac{24}{60} = 0.4$, so $p = 40$.

37. Identify the missing value: $\text{part}=\frac{20}{100}\times 150=\ ?$

    $30$. Calculate $\frac{20}{100} \times 150 = 0.2 \times 150$.

38. $45$ is $15\%$ of what number?

    $300$. Solve $45 = 0.15 \times W$, so $W = \frac{45}{0.15}$.

39. State the equation for finding the whole $W$ when the part is $P$ and the percent is $p\%$.

    $W=\frac{P}{\frac{p}{100}}$. To find the whole, divide the part by the percent expressed as a fraction.

40. What is the whole number if $15\%$ of it is $30$?

    $200$. If $15\%$ of $W = 30$, then $W = 30 \div 0.15$.

41. What is $10\%$ of $90$?

    $9$. Calculate $\frac{10}{100} \times 90 = \frac{1}{10} \times 90$.

42. What is $40\%$ of $70$?

    $28$. Calculate $\frac{40}{100} \times 70 = 0.4 \times 70$.

43. What whole number has $45$ as $15\%$ of it?

    $300$. $45 ÷ 0.15 = 300$.

44. $18$ is $30\%$ of what number?

    $60$. Solve $18 = 0.3 \times W$, so $W = \frac{18}{0.3}$.

45. What is the whole number if $60\%$ of it is $42$?

    $70$. If $60\%$ of $W = 42$, then $W = 42 \div 0.6$.

46. What is $50\%$ of $46$?

    $23$. Half of 46 is 23, since $50\% = \frac{1}{2}$.

47. What is $5\%$ of $200$?

    $10$. Calculate $\frac{5}{100} \times 200 = \frac{1}{20} \times 200$.

48. What does $p\%$ of a quantity $q$ mean when written as a rate per $100$?

    $\frac{p}{100}\times q$. Percent means 'per 100', so multiply by $\frac{p}{100}$.

49. What is the whole number if $40\%$ of it is $28$?

    $70$. If $40\%$ of $W = 28$, then $W = 28 \div 0.4$.

50. $24$ is $60\%$ of what number?

    $40$. Solve $24 = 0.6 \times W$, so $W = \frac{24}{0.6}$.

51. State the equation for the part when the whole is $W$ and the percent is $p\%$.

    $\text{part}=\frac{p}{100}W$. To find part of a whole, multiply the whole by the percent as a fraction.

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