How this calculator works
Each percentage removes a share of the price available at that step. Choose the unknown quantity; its field disappears and the remaining fields supply the calculation. Prices use Canadian dollars and exclude tax, delivery and rebates. A zero original price is valid when calculating the sale price. A fully removed price cannot determine a unique original price or a later discount.
Formula
Final price = original price x product of (1 - each discount fraction). Savings = original - final. Effective discount = 1 - product of retained fractions. To recover one missing rate, divide the final price by the original price and all the other retained fractions, then subtract from 1.
Worked example
A $100 price reduced by 20% becomes $80, saving $20. A $50 price reduced by 10% becomes $45.
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Frequently asked questions
Can I add the discount percentages?
For successive reductions, multiply the remaining fractions. The later rate applies to a smaller price, so adding rates overstates the saving.
Can I find the original price?
Yes. Select original price and provide the final price and each rate. All rates must leave a positive retained fraction for a unique answer.
When should I add sales tax?
Apply the relevant tax rules after determining the selling price. This tool reports merchandise values before tax and does not decide coupon tax treatment.