Discount calculator: stacked discounts and reverse price

Calculate sale price, savings and stacked discounts. Find the discount percentage from two prices or work back to the original price.

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Set your data

Calculation type

Starting price

Discount (%)

Second discount (%)

Final price

Prices from 0 to one billion and discounts from 0 to 100%. Reversing a discount requires less than 100%. Display rounds to two decimals; no taxes or currency are added.

Result

Enter your values to see the result.

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How to use the tool

Choose sale price, percentage between two prices or original price.
In sale price mode you can apply a second discount.

Method and principles

Stacked discounts multiply: price × (1 − discount₁/100) × (1 − discount₂/100).

The second discount applies to the already reduced price.

Formula

P₂ = P₀ \times (1 - \frac{s₁}{100}) \times (1 - \frac{s₂}{100})

Method and limits

Prices from 0 to one billion and discounts from 0 to 100%. Reversing a discount requires less than 100%. Display rounds to two decimals; no taxes or currency are added.

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Example

100 with 20% off followed by 10% off becomes 72. Savings are 28 and the effective discount is 28%, not 30%.

Practical example

Input

Calculation type: Price after one or two discounts
Starting price: 100
Discount (%): 20
Second discount (%): 10

Result

72.00

Calculation steps

Substitute the example values into the formula.
$P₂ = 100 \times (1 - \frac{20}{100}) \times (1 - \frac{10}{100})$

100 × (1 − 20/100) × (1 − 10/100) = 72.00

Result details

Result details
Parameter	Value
Original price	100.00
Discounted price	72.00
Savings	28.00
Effective discount	28 %

Limits and checks

Limits and checks
Parameter	Value
Starting price	≥ 0; ≤ 1000000000
Discount (%)	≥ 0; ≤ 100
Second discount (%)	≥ 0; ≤ 100

PRACTICAL GUIDES

How to calculate reverse percentages and percentage change

Percentage changes depend on the starting value. Work through increases and decreases, reverse a change and see why equal percentages do not always cancel out.

Follow the steps