Double Discount Calculator

Discount Percentage Double Discount Sales Tax

Double Discount Calculator ?Applies two discounts one after the other (stacked). The second discount applies to the already-reduced price, so the result is less than adding the two percentages. Fractions like 1/2 are accepted.

Inputs

Original price:

First discount (%):

Second discount (%):

Results

Final price:

You save:

Equivalent single discount:

Final price = 100 × (1 − 20/100) × (1 − 10/100) = 100 × 0.80 × 0.90 = 72
You save 28. The two discounts equal 28% off, not 30% — the second applies to the already-reduced price.

Rule: stacked discounts don't add up. Two discounts of 20% and 10% give 28% off, not 30% — the second applies to the already-reduced price. Multiply: final = price × (1 − d1/100) × (1 − d2/100).

A double discount applies two percentage discounts one after the other instead of all at once. Because the second discount comes off the already-reduced price, two discounts never simply add together. This calculator shows the final price, how much you save, and the single discount that would give the same result.

How to calculate a double discount

Don't add the two percentages. Convert each discount to the fraction of the price that remains, then multiply:

final price = price × (1 − d1/100) × (1 − d2/100)

Example — 20% then 10% off $100:

Quick formulas

final price = price × (1 − d1/100) × (1 − d2/100)
you save = price − final price
equivalent single discount (%) = (1 − (1 − d1/100)(1 − d2/100)) × 100

Where double discounts apply

  • Clearance + member discount: an item already marked down for clearance, then reduced again at checkout for loyalty members.
  • Coupon stacked on a sale: a percentage-off coupon applied on top of an item that is already on sale.
  • Trade discount + early-payment discount: a wholesale trade discount on the list price, followed by an extra percentage off for paying early.

Frequently Asked Questions

What is the total discount after two 10% discounts?

Two 10% discounts give 19% off, not 20%. On $100: the first 10% off makes it $90, then another 10% off makes it $81. The second discount applies to the already-reduced $90, so the combined discount is 1 − 0.90 × 0.90 = 0.19, i.e. 19%.

Is a double discount the same as adding the percentages?

No. Stacked discounts do not add. 20% + 10% is 28% off, not 30%, because the second discount applies to the already-reduced price. Multiply the remaining factors instead: 0.80 × 0.90 = 0.72, so 28% off.

Does the order of the discounts matter?

No. Multiplication is commutative, so 20% then 10% gives the same result as 10% then 20%. Both leave 0.80 × 0.90 = 0.72 of the price — a final price of $72 on $100.

What is the double discount formula?

final = price × (1 − d1/100) × (1 − d2/100). You save price − final, and the equivalent single discount is (1 − (1 − d1/100)(1 − d2/100)) × 100 percent.

See also