Math · Algebra & word problems
Percent Problems and Percent Change
Estimated time includes reading and one quiz. Take the time you need.
Start here: key ideas
- Part equals decimal percent times whole.
- Increase adds change; discount subtracts it.
- Percent change divides by original.
- Percentage points subtract percentages directly.
What you’ll be able to do
- Solve part-whole-percent variants.
- Calculate applied increases and decreases.
- Distinguish percent change from percentage points.
Identify part, whole, and decimal rate before choosing the equation.
Optional review
If you’d like to review the basics, visit Fractions, Decimals, and Percents. You can start this lesson without completing those first.
Part, percent, whole
A percent is per hundred. In part=percent×whole, the part is the portion and the whole is the 100% reference. Convert percent to decimal. To find whole, divide part by the decimal rate.
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