Four calculations, one screen

Percentage and Discount Calculator

Work out a percentage of a number, a discounted price, the discount rate behind a price, or how much something went up or down — all in one place.

What do you want to work out?

%

Enter two values, then pressCalculate

Percentages trip people up in the same place every time

The arithmetic is easy. The mistakes are not. what you treat as the 100It comes down to missing that this changes. If something listed at 50,000 sells for 35,000, you saved 15,000 — and the discount rate is 15,000 divided by the list price of 50,000, which is 30%. Divide by the sale price of 35,000 instead and you get 43% — which is not the discount rate.

What you wantFormulaExample
% of a numbervalue × percent ÷ 10020% of 50,000 = 10,000
Discounted pricelist price × (1 − discount ÷ 100)50,000 with 30% off = 35,000
Discount rate(list − sale) ÷ List price × 10050,000 → 35,000 = 30%
Change (%)(after − before) ÷ before × 100200 → 250 = +25%
Spicat voice memo character🎙️ Say it, and it is written downLeave your shopping list by voice7-day free trial after sign-up · on-device speech recognitionSee Spicat →

Stacked discounts do not add up

A 20% coupon plus another 10% off is not 30% off. The discounts multiply, one after the other. On an item at 100,000: 20% off leaves 80,000, and taking a further 10% off that leaves 72,000. The real discount is not 30% but 28%. The more discounts you stack, the wider the gap gets.

It works the same way in reverse. Something that has fallen 50% needs to rise not 50% but 100%to get back to where it was. That is why treating a loss and the recovery from it as the same number goes so badly wrong with shares and crypto.

Adding 10% VAT and removing it are not the same sum

Adding VAT to a net price means multiplying by 1.1. Pulling the net price back out of a gross figure means dividing by 1.1. Take 10% off 110,000 and you get 99,000 — but the answer is 100,000. Put 110,000 and 100,000 into the discount-rate mode here and you get about 9.09% — that is VAT’s share of the gross price.

Frequently asked questions

What is the difference between a percent and a percentage point?
If a rate goes from 2% to 3% it has risen 1%p , and in relative terms it has risen 50% . Mixing the two up in a headline changes the whole impression. The change mode here gives you the second figure — 50%.
How are decimals handled?
Results are rounded to two decimal places. What you actually pay can differ by a little, depending on how the shop rounds.
What if the sale price is higher than the list price?
You get a negative number, which means the price went up. The change mode is easier to read in that case.
Ohaengdam logo🎴 Five sets built from your saju elementsBuild your numbers from your birth chartFive sets free · every combination has the same odds of first prizeSee Ohaengdam →
Method — all four modes use the standard formulas, rounded to two decimal places.
What you actually pay, and any tax on it, depends on the rounding rules where you are, so treat these results as an estimate.