The Percent Porportion

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Types of Percent Proportion

Type

Example

Proportion

Find the Percent

What percent of 5 is 4?

4/5 = n/100

Find the Part

What number is 80% of 5?

p/5 = 80/100

Find the Whole

4 is 80% of what number?

4/w = 80/100

Find the Percent

What percent of $25 is $14?

14/25 = p/100 Write the proportion.

14 ∙ 100 = 25 ∙ p Find the cross products.

1400 = 25p Simplify.

1400/25 = 25p/25 Divide each side by 25.

56 = p

SOLUTION: So, $14 is 56% of $25.

Find the Part

What number is 60% of 5?

a/5 = 60/100 Write the proportion.

a ∙ 100 = 5 x 60 Find the cross products.

100a = 300 Simplify.

100a/100 = 300/100 Divide each side by 100.

a = 3

SOLUTION: So, 3 is 60% of 5.

Find the Whole

9 is 80% of what number?

9/b = 80/100 Write the proportion.

9 ∙ 100 = 80 ∙ b Find the cross products.

900 = 80b Simplify.

900/80 = 80b/80 Divide each side by 80.

11.25 = b

SOLUTION: So, 9 is 80% of 11.25.