Stack Discounts
Calculation Results
What Are Multiple Discounts?
Multiple discounts (also known as successive or stacked discounts) occur when more than one percentage reduction is applied to a single item. This is extremely common in retail settings, such as applying a 20% storewide coupon to an item that is already sitting on a 50% clearance rack.
Retailers love to advertise these stacked deals because they sound massive, but the actual mathematics behind them are often misunderstood by shoppers. If you are a retailer designing these promotions, we highly recommend running your final sale prices through our Profit Margin Calculator to ensure you don't accidentally sell inventory at a loss.
⚠️ The "Addition" Retail Trap
The most common mistake shoppers make is adding the percentages together. If a sign says "Take an extra 20% off items already marked down 50%," you are NOT getting 70% off.
Successive discounts are calculated sequentially. The second discount is taken out of the newly reduced price, not the original price. A 50% discount followed by a 20% discount results in an actual, equivalent single discount of 60%.
How to Calculate Successive Discounts Manually
Formula: Final = Original × (1 - Discount₁) × (1 - Discount₂)
To calculate stacked discounts, you must find the remaining percentage of each step (essentially calculating a sequential decrease by percentage) and multiply them together.
Step-by-Step Example (Original $100, 50% off + 20% off):
1. Apply the first discount: $100 - 50% = $50
2. Apply the second discount to the $50: 20% of $50 is $10.
3. Subtract again: $50 - $10 = $40 Final Price
*A $40 final price on a $100 item equals a true 60% total discount.
Quick Reference: Common Stacked Discounts
See the true "Equivalent Single Discount" for popular retail promotions.
20% Off + 10% Off
True Equivalent Discount:
30% Off + 20% Off
True Equivalent Discount:
50% Off + 50% Off
True Equivalent Discount:
Frequently Asked Questions
1. Does the order of the discounts matter?
Mathematically, no. Thanks to the commutative property of multiplication, taking 20% off and then 50% off will result in the exact same final price as taking 50% off and then 20% off.
2. What is the "Single Equivalent Discount"?
Our calculator provides this metric to show you exactly what single percentage would give you the identical final price. If you have three stacked discounts of 20%, 10%, and 5%, the single equivalent discount is 31.6%.
3. Can I use this for more than two discounts?
Yes! Our calculator allows you to dynamically add multiple discount rows. Just click the "Add Another Discount" button to stack as many percentages as you need.