Discount Calculator
Stacked discounts, tax, and the true effective rate.
Add tax to a net price or strip it back out of a gross one, with the tax shown separately for bookkeeping — and the reverse calculation done by dividing, which is where most people go wrong.
Fee schedules move. Marketplace commissions, payment rates, fulfilment charges and carrier surcharges are revised regularly and differ by country, plan, category and parcel profile. Read the current published rate card before you price a product on these numbers, and treat any tax figure here as arithmetic rather than advice on what you owe.
Adding tax is multiplication and everyone gets it right. Removing tax is division and a great many people get it wrong, because the obvious move — taking the tax percentage off the gross price — produces a number that is always too small. This calculator does both directions properly.
The effective-rate tile is a useful sanity check. Tax as a share of the gross is always lower than the headline rate, and if the two match, something in the calculation has gone the wrong way.
Two directions, and they are not symmetrical.
| Symbol | Meaning | Unit | Typical range |
|---|---|---|---|
Net | Price before tax | currency | — |
Rate | Combined tax rate | % | 0 – 27 |
Tax | Amount collected on behalf of the authority | currency | — |
Gross | Total the customer pays | currency | — |
Effective | Tax ÷ gross | % | 0 – 21 |
The distinction matters for a practical reason. Most consumer prices in Europe and much of Asia are quoted tax-inclusive, so extracting the net figure is a daily bookkeeping task. Most quoted prices in the United States are tax-exclusive, so adding is the common direction. Businesses that trade in both directions get caught by the asymmetry regularly.
Multiplying a gross price by the rate overstates the tax by exactly the rate again. At 20% the error is 20%; at 8.875% it is 8.875%. That regularity makes the mistake easy to spot once you know to look for it: if the extracted tax is suspiciously round compared with the total, the calculation almost certainly multiplied when it should have divided. In a business filing quarterly returns on tax-inclusive sales, an uncorrected version of this error compounds into a substantial overstatement.
The same $249.50 net amount at rates across the usual range.
| Rate | Net | Tax | Gross |
|---|---|---|---|
| 4.438% | $249.50 | $11.07 | $260.57 |
| 7.544% | $249.50 | $18.82 | $268.32 |
| 8.875% | $249.50 | $22.14 | $271.64 |
| 10.650% | $249.50 | $26.57 | $276.07 |
| 15.088% | $249.50 | $37.64 | $287.14 |
Rates vary enormously by jurisdiction and by product. Combined sales tax in the United States ranges from nothing at all in a few states to over 10% in parts of others, and it is set at state, county and city level simultaneously. Value-added tax across Europe runs from 17% to 27%, with reduced rates for food, books, children's clothing and medicines that differ country by country.
Two features of tax systems catch sellers out repeatedly. The first is that the rate depends on where the customer is, not where you are, in most modern destination-based systems — so an online store selling nationally may face dozens of different rates. The second is that what is taxable varies: the same item can be standard-rated in one jurisdiction, reduced-rated in another and exempt in a third.
For a seller, the practical consequence is that the tax collected is never your money. It sits in your bank account between the sale and the return, which makes cash flow look better than it is. Treating it as revenue is one of the more painful mistakes a growing business can make, and it is why the net profit calculator starts from net revenue rather than the gross figure on your statements.
Four things this calculator deliberately does not do.
It does not determine your rate. Rates depend on the customer's location, the product category and sometimes the delivery method. This is arithmetic on a rate you supply, not a determination of which rate applies.
It does not handle compound tax. A few jurisdictions apply one tax on top of another, so the second is charged on a base that already includes the first. Where that applies, run the calculation twice rather than adding the rates together.
It does not track nexus or registration thresholds. Whether you must register and collect in a jurisdiction depends on rules about physical presence, sales volume and transaction counts that change regularly and differ everywhere. That is a question for an accountant, not a calculator.
It does not know about exemptions. Resale certificates, zero-rated categories, tax holidays and charitable exemptions all change the answer, and none of them are visible in a rate.
One practical tip that saves a great deal of bookkeeping time. Where a tax rate is fixed and you extract it often, learn the divisor rather than recalculating: at 20% the net is the gross divided by 1.2, and the tax is the gross divided by 6. At a 10% rate the tax is a gross eleventh. Those shortcuts are exact rather than approximate, and they make it obvious at a glance when an invoice has been prepared the wrong way round.
It is also worth keeping the two figures visually separate in your own records from the moment a sale is made. Businesses that record gross takings and calculate the tax at the end of a quarter consistently overestimate how well they are doing, because the money is in the account the whole time. Recording net revenue and a tax liability separately, from the first sale, removes an entire category of unpleasant surprise.
What it is good for is the arithmetic itself: extracting the tax from a till-inclusive figure for bookkeeping, checking an invoice, quoting a net price when a customer asks for one, and pricing a product so the tax-inclusive number lands somewhere sensible. On that last point, the product pricing calculator and the discount calculator both work in net terms, so extract the tax first before feeding a shelf price into either.
Multiply the net price by the rate as a decimal. On $249.50 at 8.875%, the tax is $22.14 and the total is $271.64.
Divide the gross price by one plus the rate as a decimal. An $862.40 total at 20% is 862.40 ÷ 1.20 = $718.67 net, with $143.73 of tax.
Because the tax was calculated on the smaller net figure. Multiplying $862.40 by 20% gives $172.48 instead of $143.73 — overstating the tax by $28.75, which is 20% too much.
Always lower than the headline rate: rate ÷ (100 + rate). A 20% rate is 16.67% of the gross, and 8.875% is 8.15% of it. If the two match, the calculation went the wrong way.
The combined rate for the customer's location — state, county and city together in layered systems, rather than the state rate alone. The difference is often two or three percentage points.
The customer, in most modern destination-based systems. An online store selling nationally can face dozens of different combined rates depending on the delivery address.
Sales tax is charged once at the final sale; VAT is charged at each stage with businesses reclaiming what they paid. The arithmetic on this page is identical for both.
No. It sits in your account between the sale and the return, which flatters cash flow. Treating it as revenue is one of the more painful mistakes a growing business makes.
No. Where one tax is charged on a base that already includes another, run the calculation twice rather than adding the rates together.
Convention differs: most European and Asian consumer prices are tax-inclusive, most United States prices are not. Business-to-business quotes are usually tax-exclusive either way.
Six tools that pick up where this one leaves off.
Stacked discounts, tax, and the true effective rate.
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EcommerceTurn an assessed value and a mill rate into a monthly figure.
MortgageThree percentage questions in one tool, with the working shown.
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