Understanding Percentages

Learn percent of a number, percent of total, and percent change.

Overview

Percent means “per hundred.” Most everyday problems reduce to finding a percent of a number, expressing a ratio as a percent, or measuring change between two values.

Percent of a number

Multiply by P/100. This is the form used for discounts, tips, and tax estimates.

Percent of total

Divide the part by the whole, then multiply by 100.

Percent change

Always divide by the original value, not the new one.

Try the calculator

Use the free Percentage Calculator for live numbers, then come back to this guide anytime you need a quick refresher.