pdf Finding Percentage Using Proportions

This instructional worksheet teaches students how to find a percent using proportions by translating “of” and “is” statements into equivalent fractions. A detailed, step-by-step example models how to set up the proportion \(\frac{6}{24} = \frac{n}{100}\) when solving “What percent of 24 is 6?” Students learn that the “of” value goes on the bottom, the “is” value goes on the top, and the unknown percent is written over 100.

The example walks students through cross-multiplying, writing the equation \(24n = 6 \cdot 100\), and solving algebraically to find \(n = 25\%\). Clear annotations explain why cross products are equal and how algebra is used to isolate the variable.

Students then apply this structured process to 12 practice problems such as “What percent of 80 is 48?” and “What percent is 42 of 84?” Each problem requires students to set up the proportion, cross-multiply, write an equation, and solve for the unknown percent. Because students must show each step, the worksheet reinforces both proportional reasoning and algebraic problem solving.

This resource works well as guided instruction, independent practice, homework, small-group intervention, or assessment preparation in a unit on percent and proportional relationships.

Skills Assessed

• Setting up proportions from “of” and “is” statements

• Writing equivalent ratios with a denominator of 100

• Cross-multiplying to solve proportions

• Solving one-step algebraic equations

• Finding a percent of a number

Classroom Use

• Guided instruction on percent and proportions

• Independent practice

• Homework assignment

• Small-group remediation

• Assessment preparation

Details

2 pages
Answer key included

ID# 0040