gizmobench

Percentage Off Calculator

Take a percentage off a price and see both halves of the answer: what you save and what you pay. This page opens on 250 with 20% off, which saves 50 and leaves 200, and the subtraction is printed underneath so it can be checked at the till. Change either box and the two figures move together.

What is 250 with 20% off?20020% off 250 saves 50, leaving 200.
Question
Price
Percent off
  • The working
    250 − (20% × 250) = 250 − 50
  • Amount saved
    50
  • Final price
    200
  • Exact result
    200
  • In words
    20% off 250 saves 50, leaving 200.
Change and difference are not the same thing. Going from 80 to 100 is a 25% increase, measured against where you started. But the percentage difference between 80 and 100 is 22.22%, because that one divides by the average of the two. Change has a direction; difference does not. Reports and spreadsheets mix these up constantly, which is why both are here as separate questions.
Margin and markup are the same profit over two different divisors. Something that costs 40 and sells for 100 earns 60 either way, but the margin divides that by the selling price and is 60%, while the markup divides it by the cost and is 150%. Margin can never pass 100%; markup has no ceiling. The profit margin question above reports both, each beside the number it divided by.

Common questions

How do I work out a percentage off a price?
Take the percent of the price, then subtract it. For 20% off 250 that is 20 ÷ 100 × 250 = 50 off, leaving 200. The tool shows the line it worked from, 250 − (20% × 250) = 250 − 50, along with the saving and the final price as separate figures, because the one you need depends on whether you are checking a receipt or a budget.
What is 20% off 250?
200, with 50 saved. That is what this page opens on. The same arithmetic on other common tags: 20% off 19.99 is 15.992, 25% off 80 is 60, and 33% off 19.99 is 13.3933, which a shop rounds to 13.39.
How do I find the original price from a discounted one?
Divide by the percentage you actually paid, not by the discount. If you paid 200 after 20% off, you paid 80% of the original, so 200 ÷ 80 × 100 = 250. That is the X is P% of what question in the mode list above. Adding 20% back to 200 gives 240 and is a different, wrong answer, because the 20% was a share of the larger number.
Can I stack two discounts?
Run the tool twice: put the result of the first into the price box and apply the second. Two discounts do not add up, because the second one comes off the already reduced price. 20% then a further 10% off 250 is 200 and then 180, not the 175 that a straight 30% would give.
Why does it refuse a discount over 100%?
Because there is nothing left to take off. 100% off is free, and a larger figure would produce a negative price, which is not a discount but a payment to you. The message says so and points at the % of a number question, which is what you want if you are putting a percentage on to a price rather than taking one off.

Exact, computed in double precision and cleaned to twelve significant digits, with the working shown.