Home Back

How To Calculate Original Price From Discount

Original Price Formula:

\[ Original = \frac{Discounted}{1 - \frac{\%}{100}} \]

USD
%

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Original Price Calculation?

The original price calculation determines the pre-discount price of an item when you know its discounted price and the discount percentage applied. This is useful for comparing deals and understanding true savings.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Original = \frac{Discounted}{1 - \frac{\%}{100}} \]

Where:

Explanation: The formula reverses the discount calculation by dividing the discounted price by (1 - discount percentage as decimal).

3. Importance of Original Price Calculation

Details: Knowing the original price helps consumers understand the true value of discounts, compare deals between retailers, and make informed purchasing decisions.

4. Using the Calculator

Tips: Enter the discounted price in USD and the discount percentage (0-99.99%). Both values must be positive numbers with discount percentage less than 100%.

5. Frequently Asked Questions (FAQ)

Q1: Why can't the discount be 100% or more?
A: Mathematically, a 100% discount would make the denominator zero (undefined), and over 100% would result in negative prices, which don't make practical sense.

Q2: How accurate is this calculation?
A: It's mathematically precise for simple percentage discounts. For tiered or complex discounts, additional calculations would be needed.

Q3: Does this work for multiple discounts?
A: No, this calculates the original price before a single discount. For multiple discounts, you'd need to know each discount amount or percentage.

Q4: Can I use this for price markups?
A: Yes, by entering a negative "discount" percentage (though technically this would be a markup calculation).

Q5: How do taxes affect this calculation?
A: This calculates pre-tax original price if you enter pre-tax discounted price. For post-tax calculations, you'd need to factor in tax rates.

Original Price Calculator© - All Rights Reserved 2025