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Financial / Everyday Money

Reverse Sales Tax Calculator

Enter the total you paid and your sales tax rate. You'll get the price before tax, the amount of tax inside that total and the combined rate you used. If part of the receipt wasn't taxed, like groceries in many states, enter that amount too and only the taxable part is reversed.

Price before tax
100.00 $
Sales tax included in the total
8.25 $
Combined sales tax rate
8.250 %
Tax as a share of the total paid
7.62 %
What subtracting the rate from the total would give (wrong)
99.32 $
  • Price before tax$100 · 92%
  • Sales tax$8.25 · 8%
How much of what you paid was the item and how much was sales tax.

Price before tax = total ÷ (1 + tax rate), where the tax rate is the state and local rates added together. Tax = total − price before tax. With untaxed items, only the taxable part of the total is divided: price = untaxed + (total − untaxed) ÷ (1 + rate).

Source: Reverse-percentage arithmetic used for sales tax, VAT and GST. Results are rounded to the cent, so a receipt that rounded the tax line-by-line can differ by a penny. Check your state and local rate with your state's department of revenue.

Written by
MPhil in Mathematics, Founder of Mathovia
Updated

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

A receipt, a lump-sum invoice or a “price includes tax” sign all hide the same thing: how much of the money was the product and how much went to the state. Reverse sales tax gets it back. You take the total and strip out the tax to find the price before tax. It sounds like subtraction, but it’s actually division, and that’s where most people go wrong.

Reverse sales tax formula: price before tax equals total paid divided by one plus the tax rate, and tax equals total minus price
Divide by one plus the rate. Don't subtract the rate.

The reverse sales tax formula

When a store charges sales tax, it multiplies the pre-tax price by one plus the rate:

Here is the combined rate as a decimal, so 8.25% is 0.0825. To reverse that, divide:

The tax is whatever’s left over:

That second form is handy because it gives you the tax directly. At 8.25%, , so the tax is 7.62% of the total, not 8.25%.

Worked example: a $108.25 receipt at 8.25%

These are the calculator’s default values. A 6.25% state rate plus 2% local tax gives 8.25%, which is the combined rate across much of Texas.

Step 1: combine the rates.

Step 2: divide the total by one plus the rate.

Step 3: subtract to find the tax. $108.25 − $100.00 = $8.25.

Now check the shortcut people usually try. Taking 8.25% off the total gives . That’s 68 cents short. The 8.25% was charged on $100, and taking it off $108.25 removes too much.

Reverse Sales Tax Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Two more examples

A $54.00 dinner bill in Indiana (7%, no local sales tax).

The food cost $50.47 and the tax was $3.53. This is useful if you’re splitting a bill or tipping on the pre-tax amount.

A $2,000 laptop in Chicago (10.25% combined).

The tax was $185.94. The subtract-the-rate shortcut would have said $1,795.00, which is $19.06 off. That’s enough to matter if you’re filing an expense report or claiming the sales tax deduction.

Bar chart comparing the real sales tax inside a 100 dollar total with the amount the subtract-the-rate shortcut removes, at rates from 4 to 10.25 percent. At 8.25 percent the real tax is 7.62 dollars against 8.25 dollars for the shortcut
The tax inside a $100 total is always less than the rate. The gap grows as the rate rises.

Price before tax for a $100 total

Each row shows how much of every $100 you pay is tax. For any other total, divide by the same 1 + r. A $250 total at 7% is $250 ÷ 1.07 = $233.64 before tax.

Combined ratePrice before taxTax inside the $100Tax as % of total
4%$96.15$3.853.85%
5%$95.24$4.764.76%
6%$94.34$5.665.66%
6.25%$94.12$5.885.88%
7%$93.46$6.546.54%
7.25%$93.24$6.766.76%
8%$92.59$7.417.41%
8.25%$92.38$7.627.62%
8.875%$91.85$8.158.15%
9%$91.74$8.268.26%
9.5%$91.32$8.688.68%
10.25%$90.70$9.309.30%

Finding your combined sales tax rate

Most people get the rate wrong, not the math. In most states the rate at the register is the state rate plus one or more local rates: county, city and sometimes a transit or special district. California’s statewide base is 7.25%, and local add-ons push it past 10% in some cities. Texas starts at 6.25% and caps local tax at 2%, so no Texas rate goes above 8.25%. Five states (Alaska, Delaware, Montana, New Hampshire and Oregon) have no statewide sales tax, though Alaska lets towns charge their own.

If you don’t know the local part, your receipt often shows it. Otherwise your state’s department of revenue has a lookup by address. Enter the state and local parts in the two boxes above, or put the whole combined rate in the state box and leave local at zero. The result is the same.

When part of the receipt wasn’t taxed

Plenty of states don’t tax groceries, or tax them at a lower rate. Prescription drugs are almost always exempt, and some states skip clothing under a price limit. If your receipt mixes taxed and untaxed items, reversing the whole total gives the wrong answer.

Say you paid $80.00, and $20.00 of it was untaxed groceries, at 8.25%:

The tax was $4.57. Reversing the full $80 would have said $73.90, which understates the pre-tax spend by $1.53. Put the untaxed amount in the optional box and the calculator only reverses the taxable part.

Where people actually use this

  • Expense reports and bookkeeping. Many accounting systems want the net amount and the tax on separate lines. A reverse calculation is quicker than hunting for the original invoice.
  • Sales tax deduction. If you itemize and deduct state sales tax instead of income tax, you can add the actual tax paid on certain big purchases, such as a car, boat or materials for building a home, to the IRS table amount.
  • Businesses quoting tax-included prices. A food truck or market stall that charges a round $10 has to report the pre-tax sales and remit the tax. At 8.25%, that $10 is $9.24 of sales and $0.76 of tax.
  • Reverse VAT or GST abroad. The math is the same. At 20% VAT, divide by 1.20. At 10% GST, divide by 1.10.

Common mistakes

  • Subtracting the rate from the total. It always removes too much. Divide by instead.
  • Using only the state rate. Leave out the local portion and you’ll overstate the pre-tax price.
  • Entering the rate as a whole number in the formula. 8.25% is 0.0825 when you’re working by hand. The calculator takes 8.25 and converts it for you.
  • Reversing untaxed items. Groceries, prescriptions and exempt services shouldn’t be divided by .
  • Forgetting shipping and tips. Whether shipping is taxed depends on the state. A tip added after the bill is never part of the taxable total, so take it out before you reverse.

This calculator does the arithmetic of reversing a sales tax. It doesn’t look up rates or decide what’s taxable in your state. Confirm those with your state’s revenue department.

Sources and assumptions

This calculator assumes:

  • State and local rates are added together into one combined rate.
  • Tax is rounded once on the total; receipts that round line by line can differ by a cent.

Sources:

Figures last reviewed: . Educational estimates, not professional advice.

About the formula: Price before tax = total ÷ (1 + tax rate), where the tax rate is the state and local rates added together. Tax = total − price before tax. With untaxed items, only the taxable part of the total is divided: price = untaxed + (total − untaxed) ÷ (1 + rate).

Frequently Asked Questions

How do you calculate sales tax backwards?+

Divide the total by 1 plus the tax rate as a decimal. With a total of $108.25 and an 8.25% rate, $108.25 ÷ 1.0825 = $100.00 before tax, so the tax was $8.25. Subtract the price from the total to get the tax.

Why can't I just subtract the tax rate from the total?+

Because the tax was worked out on the pre-tax price, not on the total. Taking 8.25% off $108.25 gives $99.32, which is 68 cents too low. The error gets bigger as the rate and the amount go up. On a $2,000 purchase at 10.25% it's $19.06.

If I paid $100 with 8% sales tax, what was the price before tax?+

$92.59. $100 ÷ 1.08 = $92.59, and the tax was $7.41. So the tax is 7.41% of what you paid, a bit less than 8%, because the 8% was charged on the smaller pre-tax price.

What is the reverse sales tax formula?+

Price before tax = total ÷ (1 + r), where r is the combined sales tax rate as a decimal. The tax is total − price, which is the same as total × r ÷ (1 + r).

How do I take sales tax out of a total when some items weren't taxed?+

Take the untaxed items out first, reverse only what's left, then add the untaxed items back. On an $80 receipt with $20 of untaxed groceries at 8.25%, the taxable $60 was $55.43 before tax. The tax was $4.57 and the whole pre-tax total was $75.43.

How do you work out VAT backwards?+

The same way. Divide the gross price by 1 plus the VAT rate. At the UK's 20% rate, £120 ÷ 1.20 = £100, so the VAT was £20. That's why VAT at 20% is always one-sixth of a VAT-inclusive price.

Why is my answer a penny off from the receipt?+

Stores round the tax to the cent, and some round each item separately before adding them up. Reversing the rounded total can't always recover the exact pre-rounding price. A difference of a cent or two is normal.

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