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Discount Percentage Calculator

20% then 10% is 28% off, not 30%.

Work out Discount Percentage. 20% then 10% is 28% off, not 30%. Free, with no account and nothing to install.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these
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Set to 0 for a single discount

Price after both discounts

72.00

28% off in total, not 30%

Original price100.00
First discount of 20%−20.00
Price after the first80.00
Second discount of 10%−8.00
Final price72.00
Total saved28.00
Equivalent single discount28%
Adding the percentages would say30%

Stacked discounts do not add. Twenty percent then ten percent is 28% off, not thirty, because the second discount applies to the already-reduced price. The order does not matter — the two multiply — but the total is always less than the sum, which is why "extra 10% off sale prices" is worth less than it sounds.

How the Discount Percentage Calculator works

A discount and the price after it, with a second stacked discount handled correctly. Successive discounts multiply rather than add, so the total is always less than the sum of the two.

Also known as: percentage off calculator · sale price calculator · do two discounts add together · how much will i save calculator

Stacked discounts multiply

Twenty percent then ten percent is 28% off, not 30. The second discount applies to the already-reduced price, so the remaining fractions multiply: 0.8 × 0.9 = 0.72.

The order does not matter, since multiplication commutes — 10% then 20% gives the same 28%. What matters is that the total is always less than the sum, and the gap grows as the discounts grow.

Which is why an extra 10% off sale prices is worth less than it sounds. Two 50% discounts give 75% off rather than 100%, and no finite sequence of percentage discounts ever reaches free.

Reversing a discount

To find the original price, divide by one minus the discount. A price of 80 after 20% off was 80 ÷ 0.8 = 100. Adding 20% back gives 96, which is wrong and is the most common discount error there is.

The asymmetry is the same one that makes a 50% loss need a 100% gain to recover. Percentage decreases and increases are not inverses of each other, because the base changes between them.

The equivalent single discount for a stack is one minus the product of the remaining fractions. For 20% then 10%, that is 1 − 0.72 = 28%, which is the figure to quote when comparing against a single-discount offer.

Why anchoring works

Showing a higher original price makes the discounted one seem better value. It is among the most robust effects in consumer psychology, and it is why struck-through prices are essentially universal in retail.

The rule of 100 is the related heuristic: below about 100 units of currency, a percentage sounds larger than the cash amount; above it, the cash amount sounds larger. Ten percent off 20 beats 2 off; 50 off 500 beats 10%.

Deep and predictable discounting has a cost, though. It trains customers to wait, shifting full-price demand into sale periods, and a large permanent discount can reduce willingness to pay by signalling lower quality.

Where to go next

The Discount Percentage question rarely arrives on its own. These are the ones that usually come with it:

Not financial advice. This calculator is for planning and illustration, not financial advice. Real products carry fees, taxes, and terms it does not model. Confirm figures with your lender or a qualified adviser before committing.

Frequently asked questions

How do I calculate a discount?

Multiply the price by the discount as a decimal to get the saving, or by one minus it to get the new price. Twenty percent off 100 leaves 80.

Do two discounts add together?

No. Twenty percent then ten percent is 28% off, not 30, because the second applies to the already-reduced price. The order does not matter — the two multiply.

How do I reverse a discount?

Divide rather than adding the percentage back. A price of 80 after 20% off was 80 ÷ 0.8 = 100, not 80 × 1.2 = 96. It is the single most common discount error.

What is the equivalent single discount?

One minus the product of the remaining fractions. For 20% then 10%, that is 1 − (0.8 × 0.9) = 0.28, so 28%.

Is a bigger discount always better value?

Only against the same starting price. A 50% discount off an inflated price can leave you paying more than a 20% discount off a fair one, which is why anchoring to an original price is such an effective sales tactic.

How do I compare a discount with a free item?

Convert the free item to a percentage of the total. Buy-one-get-one-free is a 50% discount on two units; buy three get one free is 25%.

What is anchoring in pricing?

Showing a higher original price so the discounted one seems better value. It is one of the most robust effects in consumer psychology, which is why struck-through prices are ubiquitous.

Is a percentage or amount discount more persuasive?

The rule of 100 is the common heuristic — below 100 units of currency, percentages read as larger; above, cash amounts do. Ten percent off 20 sounds better than 2 off; 50 off 500 sounds better than 10%.

How do I calculate the original price from a sale price?

Divide by one minus the discount. A sale price of 60 after 25% off was 60 ÷ 0.75 = 80.

What is a loss leader?

An item sold at or below cost to attract customers who then buy profitable items. It is why milk and bread sit at the back of supermarkets.

How much discount is too much?

Deep discounting trains customers to wait for sales, which shifts full-price demand into discount periods. Brands that discount predictably find their full-price weeks getting quieter.

Does a discount affect perceived quality?

It can. Price is used as a quality signal when other information is scarce, so a large permanent discount can reduce willingness to pay rather than increase sales.

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