The formulas behind it
- X% of Y = X ÷ 100 × Y. Example: 15% of 200 = 30.
- X is what % of Y = X ÷ Y × 100. Example: 30 is 25% of 120.
- Percentage change = (new − old) ÷ |old| × 100. From 80 to 100 is +25%.
- Increase by X% = Y × (1 + X ÷ 100). Decrease by X% = Y × (1 − X ÷ 100).
A common trap
A 10% drop followed by a 10% rise doesn't bring you back to the start: 100 → 90 → 99. That's because the second percentage is applied to a smaller number. Use the percentage change line to check moves like this.
Frequently asked questions
How do I find the original price before a discount?
Divide the sale price by (1 − discount ÷ 100). A $75 item at 25% off was originally 75 ÷ 0.75 = $100.
What's the difference between percent and percentage points?
Going from 5% to 7% is a rise of 2 percentage points, but a 40% increase in the rate itself.
How do I add sales tax?
Use the "increased by" line with your tax rate.