Free · Pricing and discounts

Price Markdown from Original Price & Discount Percent

Calculate sale price, discount amount and markdown percentage using the original price as the percentage base, including zero and full discounts.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

A 20% markdown on an original price of 100 saves 20 and gives a sale price of 80. The discount percentage divides savings by the original price.

Markdown = original price × discount fraction; sale price = original price − markdown

Worked example

Enter these known values and leave the other values blank.

Original price before discount
100 USD
Discount as percent of original price
20 %
Sale price after markdown
80 USD
Discount amount
20 USD

Assumptions and limitations

  • Original price is positive. Sale price and discount amount are nonnegative, and discount percentage ranges from 0% to 100%.
  • A zero markdown leaves price unchanged; a 100% markdown gives a zero sale price.
  • The percentage base is the original price. Dividing the reduction by the discounted price answers a different question.
  • This is a single price reduction. Taxes, shipping, fees and successive promotions require separate treatment.

Common questions

Is 20% off the same as dividing by 1.2?

No. Twenty percent off multiplies original price by 0.8. Dividing by 1.2 instead reverses a 20% increase.

Can I recover original price from sale price and percentage?

Yes when the discount is below 100%; unlock the original-price field first. At a full discount, a zero sale price cannot identify a unique original price.

References

Bookify calculates markdown percentages from the original price, correcting the captured sale-price denominator and its inverse equations. Bookify allows discounts from zero through 100%, with nonnegative sale price and discount amount.

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