7th Grade Math

Use Percents Greater Than 100%

Find 120% of 75.

Method 2 Write the percent as a decimal.

120% = _^120

100

or 1.2

1.2 of 75 = 1.2 × 75 or 90

Method 1 Write the percent as a fraction.

120% = _^120

100

or _^6

5

_^6

5

of 75 = _^6

5

× 75

= _^6

5

× _^75

1

or 90

So, 120% of 75 is 90. Use a model to check the answer.

Find each number.

d. 150% of 20 e. 160% of 35

SURVEYS Refer to the graph.

If 275 students took the

survey, how many can be

expected to have 3 televisions

each in their houses?

To find 23% of 275, write the

percent as a decimal. Then

multiply.

23% of 275 = 23% × 275

= 0.23 × 275

= 63.25

So, about 63 students can be expected to have 3 televisions each in

their houses.

f. SURVEYS Refer to the graph above. Suppose 455 students took

the survey. How many can be expected to have more than

4 televisions each in their houses?

Survey Results of Number

of Televisions in House

0

1

2

3

4

More than 4

2%

9%

17%

23%

25%

20%

= 5%

Check for Reasonableness Check for Reasonableness

120% is a little more than

100%. So, the answer

should be a little more

than 100% of 75 or a little

more than 75.

Multiply Decimals

275 0 decimal places

× 0.23 2 decimal places

825

+ 5500

63.25 2 decimal places

Lesson 1B Percents 321

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