Basic Mathematics for College Students

575

We can translate percent sentences to percent
proportions and solve to find the amount.

To translate a percent sentence to a percent
proportion, use the following form:

Amount is to base as percent is to 100:

or

Part is to whole as percent is to 100:

part

whole



percent

100

amount

base



percent

100







We can translate percent sentences to percent
proportions and solve to find the percent.







is of

This is the proportion

to solve.

To make the calculations easier, simplify the ratio.

Simplify:.

Find the cross products and set them equal.

On the left side, do the multiplication: 1  100  100.

To isolate x on the right side, divide both sides of the

equation by 16. Then remove the common factor of 16

from the numerator and denominator.

On the left side, divide 100 by 16.

Thus, 12 is 6.25% of 192.

6.25  x

100

16



16

1

 x

16

1

100  16  x

1  100  16  x

192 12 ^2

1

 2

1

 3

1

21  21  2  2  2  2  31 

1

(^16)

1

16



x

100

(^19212)

12

192



x

100

amount percent base

12 what percent 192?

We can translate percent sentences to percent
proportions and solve to find the base.







is of

This is the proportion

to solve.

8.2

x



33

1

3

100

amount percent base

8.2 33 13 % what number?

is of

This is the proportion

to solve.

To make the calculations easier, simplify the ratio.

Simplify:.

To solve the proportion we use the cross products.

Find the cross products and set them equal.

To simplify the right side, do the multiplication:

120  9  1,080.

To isolate x on the left side, divide both sides of the

equation by 20. Then remove the common factor of

20 from the numerator and denominator.

On the right side, divide 1,080 by 20.

Thus, 54 is 45% of 120.

x  54

x  20

1

20

1



1,080

20

x  20  1,080

x  20  120  9

100 45  5

1

 9

51  20 ^

9

20

x

120



9

20

10045

x

120



45

100

amount percent base

What number 45% 120?