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Three numbers, and any two of them fix the third
The original price, the percentage off and the price you pay are locked together: settle two and the third has exactly one possible value. Most pages only run the first direction. The two that actually get used are the other ones — finding what percentage a marked-down price really represents, and recovering the original price from a price and a claim.
Two discounts do not add up
30% off with an extra 20% coupon is not 50% off. The coupon comes off what the first cut left, so you pay 80% of 70%, which is 56% of the original — a real discount of 44%. The gap grows with the numbers: two 50% cuts leave 25% of the price, never zero. Put the second percentage in the extra field and the page reports the effective rate instead of the advertised one.
Judge the offer by the price, not the percentage
A percentage is only as honest as the price it is taken from. Marking a reference price up and then advertising a large reduction is common enough that regulators moved on it: in the EU, a price cut has to be shown against the lowest price of the previous 30 days. Reverse the discount here, compare the amount you actually hand over across shops, and the percentage stops mattering.
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Frequently asked questions
QHow do I get the original price back from the sale price?
Divide by one minus the discount as a fraction. A price of 65 after 35% off was 65 / 0.65 = 100. Do not multiply by 1.35 — that gives 87.75, and it is the most common mistake in the reverse direction.
QIs 30% plus 20% the same as 50% off?
No, it is 44% off. Each discount applies to whatever the previous one left behind, and percentages of different amounts cannot be added. Two 30% discounts come to 51%, not 60%.
QIs a third off better than 30% off?
Slightly, yes. A third is 33.33%, so on a price of 60 you save 20 rather than 18. Fractions and percentages are easy to rank once both are written the same way.
QDoes tax change the discount percentage?
Not if the tax is a flat percentage on whatever you pay. A 20% reduction takes 20% off the pre-tax price and 20% off the tax with it, so the rate you are quoted is the rate you get. Only fixed charges that do not scale — delivery, for instance — dilute it.