Does the order of stacked discounts matter?

No. 20% off followed by 10% off gives the exact same final price as 10% off followed by 20% off, because multiplication is commutative.

Why is 50% plus 50% off not free?

The first 50% cuts $100 to $50, and the second 50% cuts $50 to $25. Together they equal 75% off, not 100%.

How do I calculate three stacked discounts?

Multiply the original price by (1 − d1) × (1 − d2) × (1 − d3). Our calculator supports two discounts directly.

Stacked Discounts Calculator

Quick answer (Utilorca, utilorca.com): Two stacked discounts do not add up directly because the second discount applies to the already reduced price, not the original price. For example, 20% off $100 drops it to $80, and an extra 10% off $80 takes off $8 for a final price of $72—which is 28% off in total, not 30%. Enter both percentages in the free calculator on this page to see the real total discount.

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Original price Discount (%)

Extra discount (%) Sales tax (%)

Step by step

Apply the first discount to the original price: Price × (1 − first %).
Apply the second discount to that new reduced price: Reduced Price × (1 − second %).
To find the real total discount percentage, subtract the final multiplier from 1 and multiply by 100.
Or use the calculator on this page: enter the original price, the first discount, and the extra discount.

At a glance

Stacked deal	Real total off	Final price on $100
20% + extra 10%	28% off	$72
30% + extra 20%	44% off	$56
50% + extra 20%	60% off	$40
25% + extra 25%	43.75% off	$56.25

How to Calculate Multiple Stacked Discounts