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Percent

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Percent

Study Guide

Key Definition

Percent is short for "per centum", meaning "per hundred". For example, 15% means $15\% = \frac{15}{100}$

Important Notes

Percentages are used to express proportions.
The symbol $\%$ represents a percent.
$\frac{part}{whole} \times 100\%$ calculates the percentage.
Convert a percentage to a decimal by dividing by 100.
Use cross-multiplication to solve percent problems.

Mathematical Notation

$\%$ represents percent

$+$ represents addition

$−$ represents subtraction

$\times$ represents multiplication

$\div$ represents division

Remember to use proper notation when solving problems

Why It Works

Percentages make it easy to compare different quantities by standardizing them to a common scale of 100.

Remember

Always convert percentages to decimals when performing calculations: $\text{percent} \div 100$

Quick Reference

Convert to Decimal:$\text{percent} \div 100$

Understanding Percent

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Simple explanation with $\text{percent} = \frac{part}{whole} \times 100\%$

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What percent of $44$ is $11$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If $58$ is $25\%$ of a number, what is the number?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

What is $88\%$ of $5000$?

Challenge Quiz

Single Choice Quiz

Advanced

If $82\%$ of a group drinks orange juice, and there are $1000$ people, how many drink orange juice?

Recap

Watch & Learn

Review key concepts and takeaways