PERCENT PROPORTION WORKSHEET

Use a proportion to answer the following.

1)  60% of 145 is what number?

2)  What percent of 70 is 21?

3)  150 is 15% of what number?

4)  198 is 33% of what number?

5)  What number is 70% of 130?

6)  12% of 150 is what number?

7)  What percent of 48 is 12?

8)  21 is 12% of what number?

9)  What percent of 105 is 63?

10)  56% of 50 is what number?

11)  What number is 48% of 175?

12)  264 is 55% of what number?

13)  There are 120 students in a high school band. If 42 of those students play brass instruments, what percent of the students play brass?

14)  An Olympic team won 20 medals. If 30% of the medals were gold, how many gold medals did they win?

15)  The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal have they raised?

16)  In a survey of 300 people, 180 said they preferred vanilla ice cream to chocolate. What percent preferred vanilla?

17)  A flower shop made 200 bouquets to sell on Mother’s Day. If the shop sold 190 of the bouquets, what percent did they have left over?

18)  In a class of 40 students, if 45% are girls, find the number of boys in the class.

19)  If there are 5 gallons of gas in a car’s fuel tank, and the tank can hold a total of 18 gallons. What percent of the tank is empty?

20)  A group of 50 students at a day camp got to choose an activity to do. 21 chose to make a craft, 16 chose to
play volleyball and 13 chose to go on a nature walk. What percent chose to make a craft?

Answers

1. Answer :

60% of 145 is what number?

ᵖ⁄₁₄₅ = ⁶⁰⁄₁₀₀

ᵖ⁄₁₄₅ = 0.6

Multiply both sides by 145.

p = 87

Therefore, 60% of 145 is 87.

2. Answer :

What percent of 70 is 21?

²¹⁄₇₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

30 = x

Therefore, 30% of 70 is 21.

3. Answer :

150 is 15% of what number?

¹⁵⁰⁄w = ¹⁵⁄₁₀₀

¹⁵⁰⁄w = ³⁄₂₀

Take reciprocal on both sides.

ʷ⁄₁₅₀ = ²⁰⁄₃

Multiply both sides by 150 and simplify.

w = 1000

Therefore, 150 is 15% of 1000.

4. Answer :

198 is 33% of what number?

¹⁹⁸⁄w = ³³⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₁₉₈ = ¹⁰⁰⁄₃₃

Multiply both sides by 198 and simplify.

w = 600

Therefore, 198 is 33% of 600.

5. Answer :

What number is 70% of 130?

ᵖ⁄₁₃₀ = ⁷⁰⁄₁₀₀

ᵖ⁄₁₃₀ = 0.7

Multiply both sides by 130.

p = 91

Therefore, 70% of 130 is 91.

6. Answer :

12% of 150 is what number?

ᵖ⁄₁₅₀ = ¹²⁄₁₀₀

ᵖ⁄₁₅₀ = 0.12

Multiply both sides by 150.

p = 18

Therefore, 12% of 150 is 18.

7. Answer :

What percent of 48 is 12?

¹²⁄₄₈ = ˣ⁄₁₀₀

¹⁄₄ = ˣ⁄₁₀₀

Multiply both sides by 100.

25 = x

Therefore, 25% of 48 is 12.

8. Answer :

21 is 12% of what number?

²¹⁄w = ¹²⁄₁₀₀

Take reciprocal on both sides.

ʷ⁄₂₁ = ¹⁰⁰⁄₁₂

ʷ⁄₂₁ = ²⁵⁄₃

Multiply both sides by 21 and simplify.

w = 175

Therefore, 21 is 12% of 175.

9. Answer :

What percent of 105 is 63?

⁶³⁄₁₀₅ = ˣ⁄₁₀₀

³⁄₅ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

60 = x

Therefore, 60% of 105 is 63.

10. Answer :

56% of 50 is what number?

ᵖ⁄₅₀ = ⁵⁶⁄₁₀₀

ᵖ⁄₅₀ = ¹⁴⁄₂₅

Multiply both sides by 50 and simplify.

p = 28

Therefore, 56% of 50 is 28.

11. Answer :

What number is 48% of 175?

ᵖ⁄₁₇₅ = ⁴⁸⁄₁₀₀

ᵖ⁄₁₇₅ = ¹²⁄₂₅

Multiply both sides by 175 and simplify.

p = 84

Therefore, 48% of 175 is 84.

12. Answer :

264 is 55% of what number?

²⁶⁴⁄w = ⁵⁵⁄₁₀₀

²⁶⁴⁄w = ¹¹⁄₂₀

Take reciprocal on both sides.

ʷ⁄₂₆₄ = ²⁰⁄₁₁

Multiply both sides by 264 and simplify.

w = 480

Therefore, 264 is 55% of 480.

13. Answer :

⁴²⁄₁₂₀ = ˣ⁄₁₀₀

⁷⁄₂₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

35 = x

Therefore, 35% of the students play brass.

14. Answer :

ᵖ⁄₂₀ = ³⁰⁄₁₀₀

ᵖ⁄₂₀ = 0.3

Multiply both sides by 100.

p = 6

Therefore, the team won 6 gold medals.

15. Answer :

⁵¹²⁄₈₀₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

64 = x

Therefore, they raised 64% of their goal.

16. Answer :

¹⁸⁰⁄₃₀₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

60 = x

Therefore, 60% of the people preferred vanilla.

17. Answer :

Number of bouquets left over :

= 200 - 190

= 10

Out of 200 bouquets made, they have 10 bouquets left over after the sales.

We can use the proportion given below to find the percent of bouquets (x), they have left over.  

¹⁰⁄₂₀₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

5 = x

Therefore, they have 5% of the bouquets left over.

18. Answer :

To find the number of boys, first we have to find the number of girls in the class.

We can use the proportion given below to find the number of girls (p).  

ᵖ⁄₄₀ = ⁴⁵⁄₁₀₀

ᵖ⁄₄₀ = 0.45

Multiply both sides by 40.

p = 18

Number of girls in the class = 18

Number of boys in the class :

= 40 - 18

= 22

19. Answer :

To find the percent of tank is empty, first we have to find the percent of tank is full.

We can use the proportion given below to find the percent of tank (x) is full.  

⁴^.²⁵⁄₁₇ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

25 = x

25% of the tank is full.

Percent of tank is empty :

= 100 - 25

= 75%

20. Answer :

Number of students choose craft = 21

Total number of students = 50

We can use the proportion given below to find the percent of students (x) choose craft.

²¹⁄₅₀ = ˣ⁄₁₀₀

Multiply both sides by 100 and simplify.

42 = x

Therefore, 42% of the students choose craft.

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