Percentage Calculator
Six percentage questions in one place — of, is-what-percent, increase, decrease, change and back-out.
Instant answers
Works offline once loaded
Nothing you type is sent anywhere
What is
% of
?
is what percent of
?
From
to
— what percent change?
is
% of what number?
by
%
Percent difference between
and
Answer
12
The working
Common ones
Instructions
How to use this calculator
Step by step
- Pick the sentence that matches your question from the row of buttons — they are worded the way people actually ask.
- Fill in the two boxes. The answer updates as you type; there is no equals button to hunt for.
- Read The working underneath. Each step shows the substitution, so you can copy the method onto paper.
- Use Copy answer to lift the result, or tap one of the common examples to load it instantly.
Good to know
- Percent change and percent difference are not the same thing. Change has a starting value and divides by it; difference treats both values as equals and divides by their average. Use change for “before and after”, difference for “these two measurements”.
- A 20% rise followed by a 20% fall does not return you to the start — 100 → 120 → 96. Percentages always act on whatever the current value is.
- To take 15% off in one step, multiply by 0.85. To add 15%, multiply by 1.15. The shortcut appears in the working for the add/subtract mode.
- Marks like 17 out of 20 are the “X is what % of Y” mode — 85%.
- Percentages over 100 are fine and often correct: going from 40 to 100 is a 150% increase.
The maths behind it
- Percent of a number result = P ÷ 100 × N 15% of 80 = 0.15 × 80 = 12.
- X as a percent of Y percent = X ÷ Y × 100 The part goes on top, the whole underneath.
- Percent change change % = (new − old) ÷ |old| × 100 Negative means a fall. The old value is the baseline, which is why the answer changes if you swap them.
- Finding the whole whole = part ÷ (P ÷ 100) Reverses the first formula — useful for backing a pre-tax price out of a total.
- Percent difference diff % = |A − B| ÷ ((|A| + |B|) ÷ 2) × 100 Symmetric: swapping A and B gives the same answer.
How do I work out the original price before a discount?
Use Find the whole. If you paid $68 after 15% off, you paid 85% of the original — so enter 68 and 85, and it returns 80.
How do I remove sales tax from a total?
Same mode. A total of $107 including 7% tax is 107% of the pre-tax price: enter 107 and 107 to get 100. In general, divide the total by 1 + rate.
What is the difference between percent and percentage points?
If a rate moves from 4% to 6%, that is a rise of 2 percentage points but a 50% increase. News stories mix these up constantly; the change mode here gives the percentage figure.