Calculate final price after two discounts, or find the initial price, first discount, second discount, and price after the first discount.

Double Discount Calculator

Enter at least 3 values to calculate any missing fields (when they can be determined).

Double Discount Formula

A double discount applies two discounts one after the other. The second discount is taken from the already-discounted price, not from the original price.

P1 = IP * (1 - D1 / 100)
FP = P1 * (1 - D2 / 100)
FP = IP * (1 - D1 / 100) * (1 - D2 / 100)

To work backward from known prices, the calculator also uses these rearranged formulas:

IP = P1 / (1 - D1 / 100)
P1 = FP / (1 - D2 / 100)
D1 = (1 - P1 / IP) * 100
D2 = (1 - FP / P1) * 100
  • IP = initial price before any discount
  • D1 = first discount percentage
  • D2 = second discount percentage
  • P1 = price after the first discount
  • FP = final price after both discounts

If you enter the initial price and both discount percentages, the calculator finds the price after the first discount and the final price. If you enter the final price and the two discounts, it can work backward to the initial price. If you enter two related prices, such as the initial price and the price after the first discount, it can calculate the missing discount percentage.

Common Double Discount Results

The combined discount is usually less than adding the two percentages together because the second discount is applied to a smaller price.

First Discount Second Discount Combined Discount Final Price on $100
10% 10% 19% $81.00
20% 10% 28% $72.00
25% 20% 40% $60.00
30% 15% 40.5% $59.50
50% 10% 55% $45.00

Example Calculations

Example 1: Find the final price after two discounts

Suppose an item costs $200, then receives a 25% discount followed by a 10% discount.

First discount:

P1 = 200 * (1 - 25 / 100) = 150

Second discount:

FP = 150 * (1 - 10 / 100) = 135

The final price is $135.00.

Example 2: Find the second discount

Suppose the price after the first discount is $80 and the final price is $68.

D2 = (1 - 68 / 80) * 100 = 15

The second discount is 15%.

FAQ

Are two 20% discounts the same as one 40% discount?

No. Two 20% discounts are not the same as one 40% discount. If an item costs $100, the first 20% discount lowers it to $80. The second 20% discount is applied to $80, lowering it to $64. The total discount is 36%, not 40%.

How do you calculate the combined discount for two discounts?

Use the price factors for each discount, multiply them, then convert back to a discount. For example, 30% off followed by 20% off gives price factors of 0.70 and 0.80. The final price factor is 0.70 × 0.80 = 0.56, so the combined discount is 44%.

Does the order of the two discounts matter?

For the final price, the order does not matter if both discounts are percentages. A 20% discount followed by a 10% discount gives the same final price as a 10% discount followed by a 20% discount. However, the price after the first discount will be different depending on which discount is applied first.