Mrs.D Math · 7th Grade

SCALE SWITCH

Percent Proportions

part / whole = % / 100

Cross-multiply to find the missing value

% Find Percent

÷ Find Part

◯ Find Whole

🔀 Mixed

% Find Percent

÷ Find Part

◯ Find Whole

🔀 Mixed

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⚖ How to Solve Percent Proportions

The Formula

part ⁄ whole = % ⁄ 100

1

Identify part, whole, and percent from the word problem.

2

Plug the known values into the proportion. Put ? for the unknown.

3

Cross-multiply, then divide to solve for the missing value.

% Find the Percent — example

5 out of 10 students passed. What percent?

5/10 = ?/100 → ? = 5 × 100 ÷ 10 = 50%

÷ Find the Part — example

A class of 10. 50% ride the bus. How many?

?/10 = 50/100 → ? = 10 × 50 ÷ 100 = 5

◯ Find the Whole — example

5 students = 50% of the class. How many total?

5/? = 50/100 → ? = 5 × 100 ÷ 50 = 10

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PROPORTION SOLVED!

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