Discount Calculator

What a discount costs the customer, and what it costs you: the share of the profit is always bigger than the share of the price.

Live output

Enable JavaScript to customise; default output below.

Optional, and the reason to use this rather than a percentage in your head: it shows what the discount does to the margin.

Live preview discount.txt
Price           $120.00
Discount 10%    −$12.00
You pay         $108.00

Total for 3     $324.00
Saved in total  $36.00

Cost            $72.00
Margin before   40%
Margin after    33.3%
Profit before   $48.00
Profit after    $36.00

The discount is 10% of the price and 25% of the profit. That difference
is what a discount actually costs, and it grows as the margin narrows.

Output is valid and updates as you type.

What a discount costs the customer is obvious. What it costs you is not: ten percent off a price with a 40 percent margin takes a quarter of the profit. That ratio is the reason this calculator asks for your cost, and it is the number the “just give them 10 percent” conversation is actually about.

How to use

  1. Put in the price before the discount and the percentage off.
  2. Add your unit cost. This is optional and it is the point of the tool.
  3. Set a quantity to total up a basket.

Example

A 120 product at 10 percent off, costing you 72:

Price          $120.00
Discount 10%   −$12.00
You pay        $108.00

Cost           $72.00
Margin before  40%
Margin after   33.3%
Profit before  $48.00
Profit after   $36.00

The discount is 10% of the price and 25% of the profit.

Ten percent of the price is a quarter of the profit, because the profit was only 40 percent of the price to begin with. The narrower the margin, the worse the ratio: at a 20 percent margin, the same 10 percent discount takes half the profit. At a 10 percent margin it takes all of it.

The rule of thumb: divide the discount by the margin. Ten over forty is a quarter.

Pitfalls

Discounts are compared against margin, not against price. A shop with a 50 percent margin can run a 20 percent sale and keep 60 percent of its profit. A shop with a 25 percent margin cannot.

A discount has to pay for itself in volume. Giving away a quarter of the profit needs a third more sales to stand still. That is a real number to forecast, not a hope.

Stacked discounts multiply, they do not add. Twenty percent off then a further ten percent off is 28 percent off, not 30.

Tax comes after. Apply the discount to the price before tax, then add tax to what is left. Discounting a tax-inclusive price and then backing the tax out gives a different, usually wrong, number.

Free shipping is a discount. Put the shipping cost in your unit cost and the same arithmetic applies.

Compatibility

Arithmetic in the browser: nothing is uploaded and nothing is stored. The share link carries the figures.

The margin figures are gross margin: price less unit cost, over price. They do not include your operating costs, so read them as the ceiling.

Frequently asked questions

What discount can I afford?
Work backwards from the profit you are willing to give up. At a 40 percent margin, giving up a fifth of the profit is an 8 percent discount. The tool makes that quick to try in both directions.
Is a percentage or an amount off better?
An amount off is easier to understand and harder to compare; a percentage scales across a range. For a single product an amount off usually converts better; for a catalogue a percentage is the only practical option.
How do I work out the original price from a sale price?
Divide by one minus the discount. A 108 price at 10 percent off was 120: 108 / 0.9.
Does it handle a discount on a discount?
Not directly. Run it twice: the second pass takes the first result as its price. That also makes the multiplying obvious.
Should I discount or add value instead?
Adding something with a low cost and a high perceived value protects the margin, which is why it is the standard advice. The arithmetic here is what makes the case: a 10 percent discount often costs more profit than the thing you could have included.
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