Double Discount Calculator — Two Sequential Discounts
Enter the original price and two discount percentages to find the final price, the total saving, and the single effective discount rate — which is always less than the two discounts simply added together.
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Price after both discounts are applied sequentially
- 1
Price after first discount
100 × (1 − 20%) = 80Second discount applies to this reduced price, not the original. - 2
Effective single discount
(1 − 0.8 × 0.9) × 100 = 28% - 3
Final price
80 × (1 − 10%) = 72
How does this calculator work?
Two sequential discounts d₁ and d₂ on price P give Final = P × (1−d₁/100) × (1−d₂/100). The effective single discount rate is 1 − (1−d₁/100)(1−d₂/100) = d₁+d₂ − d₁·d₂/100, always less than simply adding the two percentages. Order does not matter — the result is the same either way.
Formula
How this is calculated
When two discounts are applied one after the other, the second discount applies to the already-reduced price, not to the original. For example, a 20% discount followed by a 10% discount on a £100 item gives £100 × 0.80 × 0.90 = £72 — a total saving of £28 (28%), not the £30 (30%) you would get by naively adding the two percentages.
The effective single discount is computed as 1 − (1 − d₁/100) × (1 − d₂/100). Expanding this gives d₁/100 + d₂/100 − (d₁ × d₂)/10000, which shows exactly why the effective rate is always lower than d₁ + d₂: the interaction term d₁ × d₂ / 10000 is always positive, subtracting from the combined rate.
The order of the two discounts does not change the final price — multiplication is commutative — so it does not matter which discount you label first and which second. This calculator shows all three outcomes: the intermediate price after the first discount, the final price, and the effective equivalent single percentage.
Frequently asked questions
No. Multiplication is commutative: P × (1−d₁) × (1−d₂) = P × (1−d₂) × (1−d₁). Swapping the discounts gives exactly the same final price and saving.
The second discount applies to the already-reduced price. Algebraically, the effective rate is d₁ + d₂ − d₁·d₂/100, so the overlap term d₁·d₂/100 is always subtracted from the sum.
The formula extends naturally: Final = P × (1−d₁/100) × (1−d₂/100) × (1−d₃/100) × … . For a third discount, apply it to the two-discount result as another multiplicative factor.
TG we-Calculate Editorial Team. (2026). Double Discount Calculator — Two Sequential Discounts [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/double-discount-calculator
TG we-Calculate Editorial Team. "Double Discount Calculator — Two Sequential Discounts." TG we-Calculate. 2026. https://we-calculate.com/calculator/double-discount-calculator.
TG we-Calculate Editorial Team, "Double Discount Calculator — Two Sequential Discounts," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/double-discount-calculator
@misc{wecalculate_double_discount_calculator, title = {Double Discount Calculator — Two Sequential Discounts}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/double-discount-calculator}}, year = {2026}, note = {TG we-Calculate} }
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