The formula: pre-tax = total / (1 + rate). For $108 total at 8% tax, that's $108 / 1.08 = $100. Do NOT subtract 8% of $108 — that gives $99.36, which is wrong.
Why subtraction fails
The tax wasn't 8% of the total — it was 8% of the pre-tax price. 8% of $100 is $8, which is less than 8% of $108 ($8.64). Subtract the bigger number and you over-remove.
Setup: pre-tax × (1 + rate) = total. Solve for pre-tax: pre-tax = total / (1 + rate). Memorize this one equation and reverse-tax becomes trivial.
Common rates as divisors
- 5% tax — divide by 1.05
- 7% tax — divide by 1.07
- 8% tax — divide by 1.08
- 8.25% tax — divide by 1.0825
- 9.5% tax — divide by 1.095
When you need it
Expense reports (business reimburses pre-tax), comparing totals across items, finding the tax paid on a specific item without itemization. Any time you have the final total and need to back out the tax.
Enter total + tax rate, get pre-tax price. Or the other way — pre-tax + rate = total + tax.

