Solving Percent Problems Using Proportions

Multiple Choice

Identify the correct way to set up a percent proportion:

• $$\frac{part}{whole}=\frac{\%}{100}$$

• $$\frac{whole}{part}=\frac{\%}{100}$$

• $$\frac{part}{whole}=\frac{100}{\%}$$

Match

Match the keywords that represent different parts of the percent proportion:

• Part

• Whole

• Percent

Is

Of

%

• Is

• Of

• %

Match

Identify the the part, whole, and percent in the following:

What percent of 15 is 12?

• Percent

• Whole

• Part

Unknown - use either x or %

15

12

• Unknown - use either x or %

• 15

• 12

Missing the Part

Match

What number is 75% of 90?

Match the part, the whole, and the percent:

• Part

• Whole

• Percent

Unknown, use a variable

90

75

• Unknown, use a variable

• 90

• 75

​Watch this Video on How to Set Up and Solve When You are Missing the Part

​The words WHOLE and TOTAL mean the same thing!

Math Response

Set up a proportion for below and solve:

75% of 84 is what number?

Type answer here

Correct Answer: 63

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

What number is 90% of 30?

Type answer here

Correct Answer: 27

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

12.5% of 50 is what number?

Type answer here

Correct Answer: 6.25

Deg^°

Rad

Missing the Whole (total)

Match

36 is 25% of what number?

Match the part, the whole, and the percent:

• Part

• Whole

• Percent

36

Unknown, use a variable

25

• 36

• Unknown, use a variable

• 25

​Watch this Video on How to Set Up and Solve When You are Missing the Whole (total)

​The words WHOLE and TOTAL mean the same thing!

Math Response

Set up a proportion for below and solve:

252 is 72% of what amount?

Type answer here

Correct Answer: 350

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

5% of what number is 7?

Type answer here

Correct Answer: 140

Deg^°

Rad

Missing the Percent

Match

What percent of 27 is 9?

Match the part, the whole, and the percent:

• Part

• Whole

• Percent

9

27

Unknown, use a variable

• 9

• 27

• Unknown, use a variable

​Watch this Video on How to Set Up and Solve When You are Missing the Percent (%)

​The words WHOLE and TOTAL mean the same thing!

Math Response

Set up a proportion for below and solve:

What percent of 75 is 60?

Type answer here

Correct Answer: 80

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

95 is what percent of 200?

Type answer here

Correct Answer: 47.5

Deg^°

Rad

When Percents are Bigger than 100%

What if Percents are Bigger than 100?

​The words WHOLE and TOTAL mean the same thing!

Math Response

Set up a proportion for below and solve:

What number is 130% of 120?

Type answer here

Correct Answer: 156

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

350 is 175% of what amount?

Type answer here

Correct Answer: 200

Deg^°

Rad

Math Response

Set up a proportion for below and solve:

780 is what percent of 300?

Type answer here

Correct Answer: 260

Deg^°

Rad