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Calculate Original Value Before Discount

Original Value Formula:

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

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%

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1. What is the Original Value Before Discount?

This calculator determines the original price of an item before a discount was applied, based on the discounted price and the percentage discount.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

Explanation: The formula reverses the discount calculation to find the original price before the percentage reduction was applied.

3. Importance of Calculating Original Value

Details: Knowing the original price helps with price comparisons, understanding the true value of discounts, and financial planning.

4. Using the Calculator

Tips: Enter the discounted price in USD and the discount percentage (0-99). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the discount amount instead of percentage?
A: Simply add the discount amount to the after-discount price to get the original price.

Q2: Can this calculator handle multiple discounts?
A: No, this calculates a single discount. For multiple discounts, you'd need to apply the formula sequentially.

Q3: Why does the percentage need to be less than 100%?
A: A 100% discount would make the after price zero, making the original price undefined (division by zero).

Q4: How accurate is this calculation?
A: It's mathematically precise for a single percentage discount applied to the original price.

Q5: Can I use this for price increases instead of discounts?
A: Yes, by entering a negative percentage (though the calculator currently restricts to 0-100%).

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