Percentage Calculator

The five percentage questions people actually ask, on one page. Change a number and it recalculates.

× % =
e.g. 15% of 250,000
is what % of
e.g. 37 out of 120
change
e.g. last month 48,000 → this month 52,800
% applied =
e.g. 20% off → −20, 5% raise → 5
is the result after %, so the original was
e.g. 71,200 after 20% off → list price

Percent change vs percentage points

48,000 → 52,800 is a 10% increase ((52,800 − 48,000) ÷ 48,000). An interest rate moving from 3% to 4% is a rise of 1 percentage point, which is a 33% increase in relative terms. Read % and pp differently in news and contracts.

Working back from a discounted price

If 71,200 is the price after 20% off, the list price is 71,200 ÷ 0.8 = 89,000. Multiplying by 1.2 (85,440) is wrong. Tax works the same way: divide by (1 + rate).

Stacked discounts

30% off then a further 10% is not 40% but 0.7 × 0.9 = 0.63, a 37% discount, because the second discount applies to the already reduced price.

Frequently asked

Is anything sent anywhere?

No. The arithmetic runs in your browser.

How many decimals?

Results are rounded to two decimals; round money to whole units yourself.

Tax calculations?

Use the VAT / sales tax calculator for net ↔ gross with proper rounding.