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Sales Tax Calculator
Add sales tax to a price, or work backwards from a total to find what the item cost before tax.
Enter an amount and your sales tax rate.
How this calculator works
Adding tax is straightforward: multiply the price by the rate and add it on. A $49.99 item at 8.25% carries $4.12 of tax, for a total of $54.11.
Working backwards is where people go wrong. To find the pre-tax price from a total, you divide by 1 plus the rate — you do not subtract the percentage. Taking 8.25% off a $100 total gives $91.75, but the real pre-tax price is $92.38. The tax was charged on the smaller number, so subtracting it from the larger one takes off too much.
That gap widens with the rate. At 2% it is about four cents on $100; at 11% it is over a dollar. If you are separating tax on an expense claim or a set of receipts, the error compounds across every line.
Nothing here is rounded. Real registers round tax per line or per subtotal depending on state rule, so a receipt can differ from this by a cent or two.
The formula
Exactly what happens to your numbers, step by step.
Adding tax
tax = price × rate total = price + taxRemoving tax
price = total ÷ (1 + rate) tax = total − priceDivide, never subtract. Subtracting the percentage from the total is the common mistake.
A worked example
A receipt totals $100.00 and the sales tax rate is 8.25%. What did the item cost?
What you enter
- Total including tax
- $100.00
- Sales tax rate
- 8.25%
Step by step
- The wrong way
- $100 × (1 − 0.0825) = $91.75
- The right way
- $100 ÷ 1.0825 = $92.38
- So the tax was
- $100 − $92.38 = $7.62
- Check it
- $92.38 × 1.0825 = $100.00 ✓
$92.38 before tax, $7.62 of tax
The wrong method is off by 63 cents on a single $100 receipt. Note that the tax is $7.62 rather than $8.25 — because 8.25% was charged on $92.38, not on the $100 total.
Sales tax word problems, worked out
Seven common homework and real-life problems, each solved step by step. Put the same numbers into the calculator above to check them. When a problem includes a markup, apply it first: sales tax is charged on the marked-up selling price, not on what the store paid.
1.A box of chocolates costs $24.99 and the sales tax rate is 7%. What is the sales tax in dollars?
- Write the rate as a decimal: 7% = 0.07.
- Multiply the price by it: $24.99 × 0.07 = $1.7493.
- Round to the nearest cent: $1.75.
The sales tax is $1.75, so the chocolates cost $26.74 in all.
2.A jacket costs $80 and the sales tax rate is 6.5%. What is the total cost?
- Write the rate as a decimal: 6.5% = 0.065.
- Find the tax: $80 × 0.065 = $5.20.
- Add it to the price: $80 + $5.20 = $85.20.
- Or in one step, multiply by 1 plus the rate: $80 × 1.065 = $85.20.
The total cost is $85.20.
3.A shopper multiplied the price of a camera by 1.0875 to find the total. What percent sales tax did they pay?
- Multiplying by 1.0875 is the same as keeping the whole price (the 1) and adding 0.0875 of it as tax.
- So the tax as a decimal is 1.0875 − 1 = 0.0875.
- As a percent: 0.0875 × 100 = 8.75%.
- Check with a $400 camera: tax is $400 × 0.0875 = $35.00, and $400 + $35.00 = $435.00, which is $400 × 1.0875.
The sales tax rate is 8.75%.
4.A pair of shoes is priced at $60 and costs $64.50 after tax. What is the sales tax rate?
- Find the tax paid: $64.50 − $60 = $4.50.
- Divide by the price before tax: $4.50 ÷ $60 = 0.075.
- As a percent: 0.075 × 100 = 7.5%.
- Divide by the $60 price, not the $64.50 total. Dividing by the total gives 6.98%, which is wrong because the tax was charged on the price.
The sales tax rate is 7.5%.
5.A receipt shows $53.50 including 7% sales tax. What was the price before tax?
- Divide the total by 1 plus the rate: 1 + 0.07 = 1.07.
- $53.50 ÷ 1.07 = $50.00.
- The tax was $53.50 − $50.00 = $3.50.
- Check: $50.00 × 1.07 = $53.50. Taking 7% off $53.50 instead gives $49.76, which is the common mistake.
The price before tax was $50.00.
6.A store buys a mattress for $255, marks it up 100%, and sells it. With 11% sales tax, how much does the buyer pay in all?
- Mark up first. A 100% markup adds the whole cost again: $255 + $255 = $510.00, the selling price.
- Then tax the selling price: $510.00 × 0.11 = $56.10.
- Add the tax: $510.00 + $56.10 = $566.10.
- Taxing the $255 cost instead gives $28.05 of tax, which is wrong: the buyer pays tax on the price they pay, not on what the store paid.
The buyer pays $566.10 in all.
7.A garden shop pays $8.80 for a rake and marks it up 25%. The customer also pays 3% sales tax. What is the total cost?
- Mark up first: 25% of $8.80 is $2.20, so the selling price is $8.80 × 1.25 = $11.00.
- Then tax the selling price: $11.00 × 0.03 = $0.33.
- Add the tax: $11.00 + $0.33 = $11.33.
The total cost is $11.33.
Answers are rounded to the nearest cent, as a register would. Real receipts round tax per item or per subtotal depending on state rules, so a printed total can differ by a cent.
Assumptions
Every result here rests on these. Change your inputs and the result changes with them.
- A single tax rate applies to the whole amount.
- The rate you enter is your full combined rate — state plus any county, city and district taxes.
- Nothing is rounded, so the figures may differ by a cent or two from a printed receipt.
What this cannot tell you
- It cannot look up your rate. A US sales tax rate is a state rate with county, city and special-district rates stacked on top, across more than eleven thousand taxing jurisdictions — two addresses on opposite sides of one street can pay different rates, and rates change on quarterly cycles. A dropdown of state rates would be correct about a component and wrong about the answer, which is worse than no number at all.
- It does not know what is taxable. Most states exempt groceries and prescription drugs, some exempt clothing below a threshold, and rules differ for prepared food, digital goods and services.
- Mixed baskets are not handled. If some items are taxable and some are exempt, run them separately.
- Sales tax holidays, tribal jurisdictions, and special rates on vehicles, alcohol or lodging are not modeled.
- This is US sales tax arithmetic. VAT and GST work the same way mathematically, but their registration, reclaim and invoicing rules do not.
Questions people ask
How do I calculate sales tax backwards from a total?
Divide the total by 1 plus the rate as a decimal. For 8.25%, divide by 1.0825. Do not subtract 8.25% from the total — that removes too much, because the tax was charged on the pre-tax price rather than on the total.
Why is subtracting the percentage wrong?
Because a percentage is always of something, and here it was of the smaller number. $92.38 plus 8.25% is $100. But $100 minus 8.25% is $91.75, since 8.25% of $100 is larger than 8.25% of $92.38. The difference is the tax on the tax.
What sales tax rate should I enter?
Your full combined rate. The quickest source is a recent receipt from the same area, which prints the rate or lets you derive it. Failing that, most state revenue departments publish an address-based rate lookup — address-based precisely because the rate can change street by street.
Which states have no sales tax?
Alaska, Delaware, Montana, New Hampshire and Oregon have no statewide sales tax. Alaska is the catch: it has no state rate but allows local ones, so many Alaskan towns do charge sales tax. The other four generally do not.
Does this work for VAT or GST?
The arithmetic is identical — adding and removing a percentage works the same way for VAT, GST or any inclusive tax. What differs is everything around it: registration thresholds, reclaiming input tax, and invoice requirements. Use it for the math, not for compliance.
Further reading
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Sources and review
Sources
Methodology version 1.0.0 · Last reviewed
Cite this calculator
For coursework, a resource list or your own site. How every calculator is built and checked is set out on the methodology page.
Citation
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