🔄Reverse Calculation

Reverse-calculate the original input value from a result and a known value.

Formula: original = result − known

How to Use the Reverse Calculation Tool

The Reverse Calculation tool finds the original input when you know the result and one of the values in a basic arithmetic operation. It is useful for back-calculating costs, reversing tax, finding unknowns in formulas, and more.

Select the operation, enter the result and known value, and the original is calculated immediately. A verification value is also shown to confirm the answer is correct.

Reverse Formulas by Operation

Addition: original = result − known. Subtraction: original = result + known. Multiplication: original = result ÷ known. Division: original = result × known. Example: price after 10% tax is $110 → original = 110 ÷ 1.1 = $100.

Frequently Asked Questions

Why can't the known value be zero in multiplication?

Dividing by zero is mathematically undefined, making reverse multiplication impossible when the known value is zero.

What does the verification value show?

The verification re-applies the operation using the computed original and known values to confirm they equal the result.

Can I reverse percentages?

Yes. Convert the percentage to a decimal first (e.g., 10% = 0.1, so add 10% = × 1.1), then use multiplication reverse.