How to Calculate the Original Price
The reverse discount formula divides the sale price by (1 minus the discount rate). If you paid $63 for an item that was 30% off, the original price was $63 / (1 - 0.30) = $63 / 0.70 = $90. This works because the sale price represents the remaining percentage of the original. At 30% off, you paid 70% of the original, so dividing by 0.70 recovers the full 100%.
This calculation is particularly useful for verifying deals. Some retailers engage in a practice where they inflate the original price to make the discount appear larger. If you see a shirt advertised as 60% off at $28, the implied original price is $70. If that shirt has never actually been sold for $70, the 60% claim is misleading. Calculating the original price lets you cross-reference it against typical market prices.
The calculator handles any discount percentage and can also work with dollar-off discounts. If you saved $45 and that represents a 25% discount, the original price was $45 / 0.25 = $180. Both input methods — percentage-off with sale price, or dollar savings with discount percentage — arrive at the same original price and help you evaluate whether the deal is truly worthwhile.
Example: Verifying a Sale Price
A pair of headphones is marked as 40% off with a sale price of $149.99.
- Enter $149.99 as the sale price and 40% as the discount.
- Original price = $149.99 / (1 - 0.40) = $149.99 / 0.60 = $249.98.
- The retailer claims the original price was $249.99 — this checks out as accurate.
- Dollar savings: $249.98 - $149.99 = $99.99 off.
- Cross-reference the $249.99 original price with other retailers to confirm it was the actual selling price.
Tips for Accurate Results
- Use price tracking tools and browser extensions to verify that the original price claimed by the retailer was the actual recent selling price, not an inflated reference point.
- When shopping outlet stores, calculate the original price from the discount and compare it to the same item at full-price retailers. Outlet-specific items may have inflated originals.
- Keep receipts with the calculated original price for price-adjustment claims if the item goes on a deeper sale within the return window at certain stores.
- For international shopping where prices are in foreign currencies, calculate the original price first in the local currency, then convert to your currency for an accurate comparison.
Frequently Asked Questions
How do I find the original price from a sale price?
Divide the sale price by (1 minus the discount expressed as a decimal). For an item at $56 after a 20% discount: $56 / (1 - 0.20) = $56 / 0.80 = $70 original price. This formula works because the sale price represents the percentage of the original that you actually paid. Dividing by that percentage reverses the calculation to reveal the full original amount.
How can I tell if the original price is inflated?
Compare the calculated original price against the same product at competing retailers, check price history using tools like CamelCamelCamel for Amazon or Google Shopping for general retail, and read reviews that may mention typical pricing. If no other retailer has ever sold the item at the claimed original price, the discount percentage is likely exaggerated.
Is the original price the same as MSRP?
Not always. MSRP (Manufacturer's Suggested Retail Price) is the price recommended by the maker, but retailers can sell above or below it. Many retailers set their own original price higher than MSRP to create the appearance of a larger discount. Others regularly sell below MSRP, making the MSRP itself a misleading reference point for calculating true savings.
What if two discounts were applied to reach the sale price?
If two sequential discounts were applied, you need to reverse each one individually. First divide the final price by (1 minus the second discount), then divide that result by (1 minus the first discount). For $54 after 10% then 20% off: $54 / 0.90 = $60 (after first discount), then $60 / 0.80 = $75 original price. The order of reversal is the opposite of the order the discounts were applied.