Percent Proportion Explorer

Use these worksheets to practice percent proportions, equivalent rates out of 100, and percent problems using is and of statements.

Watch these lessons to learn multiple ways to solve proportions, including reducing first and applying proportions to word problems.

Read the percent question and study the proportion shown on the screen.

Enter the missing value and click Check Answer. Whole numbers, fractions, decimals, and percent answers are accepted when appropriate.

After your first answer attempt, Show Work unlocks so you can compare your solution with the cross-multiplication method.

The percent proportion always compares a part to a whole and a percent to 100.

The denominator on the percent side is always 100 because percent means “out of 100.”

Cross products can be used to solve for the missing part, whole, or percent.

Percent Proportion: A proportion that compares a part over a whole to a percent over 100.

Proportion: An equation showing that two ratios or rates are equivalent.

Percent: A rate or ratio that means “out of 100.”

Part: The amount being compared to the whole.

Whole: The total amount or complete group in a percent problem.

Equivalent Rates: Rates that represent the same relationship using different numbers.

Cross Products: The products found by multiplying diagonally in a proportion.

A percent proportion compares the part-to-whole relationship with the percent-to-100 relationship.

\(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\)

When one value is missing, cross products can be used to create an equation.

\(\text{part}\cdot 100=\text{whole}\cdot \text{percent}\)

This strategy can be used to find the percent, the part, or the whole in a percent problem.

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