pdf Percentage And Proportion - Using "Of" and "Is" Statements

This instructional worksheet teaches students how to solve percent problems using proportions when the percent is given and the whole is unknown. A clear visual model explains how to translate “of” and “is” statements into a proportion by writing the percent over 100 and setting up equivalent ratios.

A detailed example walks students through solving “What is 45% of 80?” by setting up the proportion \(\frac{n}{80} = \frac{45}{100}\), cross-multiplying, writing the statement of equivalency \(100n = 80 \times 45\), and solving to find \(n = 36\). The structured layout reinforces where each number belongs in the proportion and why the percent is always written over 100.

Students then solve 18 practice problems such as 28% of 175, 80% of 40, 22% of 150, 92% of 75, 35% of 60, and 50% of 96. Each problem requires setting up a proportion, cross-multiplying, and solving algebraically, strengthening both proportional reasoning and equation-solving skills.

Because the worksheet emphasizes structure and reasoning rather than shortcuts, it builds a strong foundation for percent applications in more advanced contexts. It works well as guided instruction, independent practice, homework, small-group intervention, or assessment preparation in a unit on percent and proportions.

Skills Assessed

• Setting up proportions from percent statements

• Writing percent as a ratio over 100

• Cross-multiplying to solve proportions

• Solving one-step algebraic equations

• Finding a percent of a number

Classroom Use

• Guided instruction on percent and proportion

• Independent practice

• Homework assignment

• Small-group remediation

• Assessment preparation

Details

2 pages
Answer key included

ID# 0042