Original Price Calculator
Know the sale price and the discount but not the original? Work backward to the pre-sale price and see the full markdown in dollars.
Original price
$80.00
A 25% discount off $80.00 leaves the $60.00 you paid, a $20.00 markdown.
- Sale price paid$60.00
- Discount25%
- Discount in dollars$20.00
- Original price$80.00
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How it works
A sale price is only a fraction of the original, so to reverse it you divide rather than multiply. The price you paid represents everything left after the discount, which is (100% − discount), so dividing by that share recovers the full original:
- sale price — what you actually paid
- discount% — the percent off that was applied
With the defaults, paying $60 after 25% off means $60 is 75% of the original, so $60 ÷ 0.75 = $80.00. The markdown was $20.00, the difference between the original and what you paid.
Every result is checked against independent reference math. See how we test the calculators →
A worked example: $60 paid at 25% off
That $60 you handed over at the register was a sale price, and the tag said 25% off. Work backward and the true sticker was $80.00, so the markdown quietly saved you $20.00 on this one item.
The logic runs in reverse of a normal discount. The $60.00 you paid is what was left after a quarter of the price came off, so it stands for 75% of the original. Scale it back to the full price and you land at $80.00, the number the store started from before the sale.
The size of the cut changes that starting number a lot. Pay the same on a 20% off tag and the original was $75.00, but on a 40% off tag it was $100, a $25 spread depending on how deep the discount ran. Plug in your own price and percent to reveal the real starting figure.
Why work backward at all
- Judge whether a deal is real. If the recovered original looks inflated compared to what the item normally sells for, the discount may be less generous than the tag suggests.
- Set a resale or reference price. Knowing the pre-sale price helps when listing an item secondhand or comparing it against full-price rivals.
- Rebuild a receipt. When only the final price and the percent off are known, this fills in the original so your records or expense reports add up.
A second example, reversed
The steps are the same whatever the numbers. Suppose you paid $90 after a 40% discount. That $90 is the 60% left once 40% came off, so divide by 0.60: $90 ÷ 0.60 = $150.00 original, a $60 markdown.
Paid $30 after 25% off? That is 75% of the original, so $30 ÷ 0.75 = $40.00.
- Turn the discount into the share you kept. 40% off means you paid 60%, so the divisor is 0.60. Getting that share right is the whole trick.
- Divide, never multiply. Multiplying the price you paid by the discount adds the wrong amount, because the percent was taken from the larger original, not the smaller sale price.
- Sanity-check the gap. The original minus what you paid should look like a believable markdown for that item. If it does not, re-check the percent you entered.
The mistake that undershoots the original
The most common error is treating the percent off as a slice of the price you paid, then adding it back. That lands short every time. A 25% discount is 25% of the higher original, so the $60 you paid is only 75% of it, and 25% of the original is larger than 25% of $60.
- Wrong way: $60 + 25% of $60 = $75. That treats the discount as a slice of the sale price.
- Right way: $60 ÷ 0.75 = $80. That treats the discount as a slice of the original, where it actually came from.
- The bigger the discount, the bigger the error. At 50% off the two methods diverge sharply, so always divide by the share you kept.
Reversing a stacked or flat discount
This tool reverses a single percentage. Real receipts sometimes involve a flat coupon or two stacked discounts, which need a slightly different unwind. Order matters, because you undo the discounts in the reverse of how they were applied.
- Flat dollars off: if you know the sale price and the dollars saved, just add them for the original. No division needed, because the cut was not a percentage.
- Two stacked percents: divide by the share left from the last discount, then by the share left from the first. Undoing 20% then 30% means dividing by 0.70, then by 0.80.
- A percent then a flat coupon: add the coupon back first, then divide by the share the percent left. Reversing the steps in order keeps the math honest.
Using the original for a price adjustment
One practical reason to recover the original is a price-adjustment claim. Many stores refund the difference if an item you bought drops in price within a set window, and some card benefits do the same. To file one you often need the original price you paid, not just the new lower tag.
- Reconstruct a lost figure. If a receipt survives only as a final total and a percent off, this recovers the pre-discount price the store recorded.
- Compare against a later sale. Knowing the original lets you check whether a fresh markdown truly beats what you already paid, or just matches it.
- Keep tax separate. Price adjustments work off the pre-tax price, so reverse the discount on the item price alone before comparing.
Common questions
Why divide instead of subtract to find the original?
Because the discount is a percentage of the original, not of the sale price. The price you paid is the leftover share, so dividing by that share (for example 0.75 after 25% off) scales it back up to the full original.
Can I use this if I only know the dollars saved?
If you know the dollars off and the sale price, just add them together for the original. This calculator is for when you know the percent off but not the starting price.
What if the discount was 100%?
A 100% discount means the item was free, so there is no finite original to recover by this method. The calculator needs a discount under 100% to divide by a positive share.
Does tax change the original price I get back?
This works on pre-tax prices. If your sale price already included tax, strip the tax out first, then reverse the discount, so you are comparing like with like.
Is the recovered original the same as the manufacturer list price?
Not always. It is whatever price the discount was taken from, which a retailer may have set above or below the official list price. Treat it as the store’s reference price, not a guaranteed MSRP.
Sources & further reading
- FTC, Consumer advice: pricing, returns, and shopping online
- CFPB, Consumer tools: spending and payment methods
- USA.gov, Consumer: consumer protection basics
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