Case 1
- Add or extract
- Add VAT to a net amount
- Amount
- 100
- Rate
- Germany 19 %
- Custom rate
- 19%
19.00
- Net amount (before VAT)
- 100.00
- Gross amount (including VAT)
- 119.00
Change any value to update the result.
19.00tax
VAT amount: 19.00 taxPersonal inputs stay on this device. Sharing sends the calculator page without these values.
Choose add VAT for a net amount or extract VAT for a gross amount. At 19%, a gross amount of 119 contains 19 VAT and leaves 100 net. Read all three amounts together; extracting the tax uses 100 plus the rate in the divisor.
19.00
19.00
8.10
add: A × r/100 · extract: A × r/(100 + r)
From 119 at 19 % the tax is 119 × 19 / 119 = 19. Dividing by 100 instead gives 22.61, which is the tax you would add on top of 119, not the tax already inside it.
The main result is the VAT amount. The result details also show the net and gross amounts: gross equals net plus VAT.
The presets carry 8.1 %, 2.6 % and 3.8 %, the rates in force since then. For an older invoice pick the own-rate option and enter the old figure.
This page rounds once, at the end, to two decimals. An invoice with several lines normally rounds each line first, and those roundings can add up a cent either way.
Misconception19 % of a gross amount is the VAT contained in it.
CorrectionIt is not. In 119 there is 19 of tax, not 22.61 — the divisor is 119, not 100.
MisconceptionAdding and extracting are the same sum with the sign flipped.
CorrectionThey are two different sums. Adding treats your amount as net and puts the tax on top; extracting treats it as gross and takes the tax out of it.
MisconceptionThe calculator decides which rate my goods carry.
CorrectionIt applies the rate you pick and nothing else. UStG § 12 (2) lists what carries the German reduced rate, among it staple foods, books and local public transport.
| Rate | Where | Legal basis |
|---|---|---|
| 19 % | Germany, standard | UStG § 12 (1) |
| 7 % | Germany, reduced | UStG § 12 (2) |
| 20 % | Austria, standard | UStG 1994 § 10 (1) |
| 10 % / 13 % | Austria, reduced | UStG 1994 § 10 (2), (3) |
| 8.1 % | Switzerland, standard | MWSTG Art. 25 (1) |
| 2.6 % / 3.8 % | Switzerland, reduced / lodging | MWSTG Art. 25 (2), (4) |
Multiply by the rate and divide by 100 plus the rate, not by 100. From 119 at 19 % that is 119 × 19 / 119 = 19, and dividing by 100 instead would give 22.61.
Adding treats your amount as net and puts the tax on top. Extracting treats it as gross and takes the tax out of it — the same rate gives two different amounts of tax.
UStG § 12 Absatz 2 lists them, among them staple foods, books and newspapers, and local public transport. The calculator does not decide which rate applies; it applies the one you pick.
Yes, on 1 January 2024: the standard rate went to 8.1 %, the reduced rate to 2.6 % and the accommodation rate to 3.8 %. For an older invoice use the custom rate.
The calculator rounds once, at the end, to two decimals. An invoice with several lines usually rounds each line first, and those roundings can add up to a cent either way.
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