How to calculate the final price and total discount from two successive discounts?

Here's an example: An item costs $200 with a 20% discount and then an extra 10% off at checkout. Final price = Price × (1 − 20 / 100) × (1 − 10 / 100) = $200 × 0.8 × 0.9 = $144. Effective discount = (1 − 144 / 200) × 100 = 28%. Note: two discounts of 20% and 10% do NOT add up to 30%, because the second discount applies to the already-reduced price.

Stacked Discounts — How to Stack Two Discounts into One Final Price and Total Discount

An item costs $ . It's discounted %, then I get an extra % off at checkout.
What's the final price and the real total discount?

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Answer: The final price is $ , which is a real total discount of %.

Round calculations to 2 decimal places

Calculation type: Applying two successive percentage discounts to the same item (discount stacking).
Watch out: Two discounts of 20% and 10% are NOT the same as one single 30% discount, because the second cut comes off the already-reduced price. The real total discount is only 28%.
Formula explanation:
Final price = Price × (1 − First discount / 100) × (1 − Second discount / 100)
Final price = $200 × (1 − 20 / 100) × (1 − 10 / 100) = $200 × 0.8 × 0.9 = $144
After the first 20% discount, the price is $200 × 0.8 = $160. The extra 10% then comes off $160, not the original $200.
Effective discount = (1 − Final price / Price) × 100 = (1 − 144 / 200) × 100 = 28%

For informational purposes only.

How to Stack Two Discounts into One Final Price and Total Discount Stacked discounts