Apply three discounts in sequence and see the final sale price, total savings, and effective combined discount.
Enter a positive original price and three discount percentages from 0% to 100%.
The discounts are applied one after another, so their percentages should not be added. Each later discount is calculated from the already-reduced price.
This triple discount calculator applies three percentage reductions one after another. It returns the final price and total amount saved. Successive discounts multiply the remaining price, so adding the three percentages usually gives the wrong answer.
The page suits advertised markdowns such as a store discount followed by a coupon and a further promotion. Tax, shipping, fixed coupons, minimum spend, exclusions, and rounding rules are outside this calculation.
Each percentage may range from 0 to 100. The mathematical final price is the same if the three percentage discounts are reordered, although real promotion eligibility may depend on order.
Final price = P(1 − d₁/100)(1 − d₂/100)(1 − d₃/100)
Savings = P − final price
Equivalent discount = [1 − (1 − d₁/100)(1 − d₂/100)(1 − d₃/100)] × 100%
| Entry or result | Meaning |
|---|---|
| P | Original price before reductions. |
| d₁ | First percentage reduction. |
| d₂ | Second percentage applied to the remaining price. |
| d₃ | Third percentage applied to the next remainder. |
| Savings | Original price minus final price. |
For an original price of $200 with discounts of 20%, 10%, and 5%, the successive prices are $160, $144, and $136.80. Total savings are $63.20.
The equivalent reduction is 63.20/200 × 100 = 31.6%, not 35%. Each later discount applies to a smaller base.
The final price is the merchandise amount after the three percentage reductions. It is not necessarily the checkout total because sales tax, shipping, fees, deposits, and fixed-value coupons may still apply.
Percentage discounts commute mathematically: 20% then 10% gives the same product factor as 10% then 20%. Store rules may still prescribe an order when a coupon is valid only after another condition.
A 100% discount at any stage makes the final price zero. Later percentage discounts cannot reduce it below zero. Three zero discounts leave the original price unchanged.
The displayed currency symbol is generic. Enter one currency consistently and label the result correctly when recording it. No exchange conversion occurs.
Money is displayed to two decimals. A merchant may round after each line, allocate a discount across several items, or round tax under local rules, causing a small difference from calculating on the unrounded total.
To compare promotions, calculate each complete offer against the same eligible original price. Check caps, excluded products, loyalty requirements, return policies, and whether discounts can actually be combined.
A useful check is to multiply the three remaining-price factors. In the example, 0.8 × 0.9 × 0.95 = 0.684, so the customer pays 68.4% of the original price.
To work backward from a final price, divide by the product of the remaining-price factors. For example, if $136.80 remains after factors 0.8, 0.9, and 0.95, dividing by 0.684 recovers the $200 original price. This reverse step assumes no other charge or fixed reduction intervened.
A discount followed by a markup of the same percentage does not return to the starting price because the bases differ. A 20% cut from $100 gives $80, and a 20% increase on $80 gives $96. Keep markdown and markup questions separate.
For multiple items, merchants may apply eligibility and rounding per item rather than to the cart subtotal. Calculate at the same level used by the offer terms when checking a receipt.
If a promotion states “up to” a percentage, enter only the discounts that actually apply to the item. Advertising language is not an additional mathematical reduction. Save the offer terms when checking a purchase or return.
Each later percentage applies to the already reduced price. Multiplying remaining-price factors captures that changing base.
Pure percentage reductions produce the same product in any order. Actual store eligibility or fixed coupons can make practical order matter.
Divide total savings by original price and multiply by 100, or subtract the product of the three remaining-price factors from one.
No. The page calculates percentage markdowns only. Checkout charges depend on merchant rules and applicable law.
Yes. That makes the final price zero. Values above 100 percent are rejected.
The merchant may round each line or allocate discounts among items, while this page keeps precision until the final two-decimal display.
Not directly. Subtract a fixed coupon according to its actual order and terms; it is not equivalent to a constant percentage across all prices.