## Summary

To calculate the original price from a sale price and percentage discount, you can use a formula that divides the sale price by 1 minus the discount percentage. In the example shown, the formula in cell E5 is:

``````=C5/(1-D5)
``````

The results in column E are decimal values with the percentage number format applied.

## Generic formula

``=price/(1-discount)``

## Explanation

In this example, the goal is to determine the original price from a discounted price (sale price) and the percentage discount. For example, given a sale price of \$60.00, and a discount of 10%, we want a result of \$70.00 for the original price. The discounted price is in column C and the percentage discount is in column D. The general formula for this calculation, where "x" is the original price, is:

``````x=price/(1-discount)
x=63/(1-10%)
x=63/(0.90)
x=70.00
``````

Converting this to an Excel formula with cell references, the formula in E5 becomes:

``````=C5/(1-D5)
=63/(1-0.1)
=63/0.9
=70.00
``````

As the formula is copied down, it returns the original for each item in the table, based on the percentages shown in column D.

### Formatting percentages in Excel

In mathematics, a percentage is a number expressed as a fraction of 100. For example, 95% is read as "ninety-five percent" and is equivalent to 95/100 or 0.95. Accordingly, the values in column D are decimal values, with the Percentage number format applied.

Author

### Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.