Percentage Calculator
Four questions, one screen.
Reading your result
Fill in every field and the steps will be spelled out here.
How it is calculated
Percent and percentage point are not the same thing. A rate moving from 3% to 5% has risen by 2 percentage points, which is a 67% increase in relative terms. When a figure is itself a percentage, saying "up 2%" is ambiguous. The change mode here reports relative change.
Two discounts do not add up. 20% off followed by another 10% off is not 30% off — it is 28% off, because the second cut applies to an already reduced price. The same logic works against you in reverse: a 20% rise followed by a 20% fall leaves you 4% below where you started.
Increases and decreases are not symmetric. Going from 100 to 50 is a 50% decrease; going back from 50 to 100 is a 100% increase. The size of the move is identical but the base is not, which is where most misreadings of growth figures come from.
Frequently asked questions
What is the difference between % and percentage points?
Percentage points describe the arithmetic gap between two rates; percent describes the change relative to the starting value. From 3% to 5% is 2 percentage points, or roughly a 67% increase.
Is 20% off twice the same as 40% off?
No — it works out to 36% off. The second reduction applies to the already discounted price, so 10,000 becomes 8,000 and then 6,400.
Does a 20% rise then a 20% fall cancel out?
No. 100 rises to 120, then a 20% fall takes it to 96 — 4% below the original. The two moves are measured against different bases.
These are plain arithmetic results. Actual transaction amounts may differ once taxes, fees and rounding rules are applied.