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Double Discount Calculator

Work out double discount instantly with clear inputs, formula shown and shareable results.

About Double Discount Calculator

Stacked discounts multiply rather than add: 30% then 20% off is not 50% off but 44%, because the second discount applies to the already reduced price. The gap widens with larger discounts — 50% then 50% is 75% off, not 100%.

Formula

Stacked discounts

final = price x (1 - d1) x (1 - d2); effective discount = 1 - (1 - d1)(1 - d2)

Worked example

With the default values below, Double Discount Calculator returns Final price of $67.20. Change any input above and every figure here is recalculated in your browser.

Inputs used

Original price
120
First discount
30 %
Second discount
20 %

Results

Final price
$67.20
Total saving
$52.80
Effective discount
44.00% %
What people assume (added together)
50.00% %

Step by step

  1. 1Values used
  2. 2Stacked discounts
  3. 3Final price= 67.20
  4. 4Total saving= 52.80
  5. 5Effective discount= 44.00 %
  6. 6What people assume (added together)= 50.00 %

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Does the order of the discounts matter?

No. Multiplication is commutative, so 30% then 20% gives exactly the same result as 20% then 30%.

Why do shops advertise it this way?

'Extra 20% off sale prices' sounds larger than the 44% total it actually delivers, and it is genuinely a bigger saving than 20% off list.

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