VAT Rate Update: Gross Price 438 (Pound, Euro) Currently Has a 1% VAT Rate. If Rate Is Changed to 17% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 438 with a different VAT Rate: from 1% to 17%
Recalculate Gross Amount (Tax Included) with a New VAT Rate
VAT. Gross Amount. Net Amount.
- VAT = Value Added Tax is a tax charged of each economic agent involved in the business cycle and transferred to the state budget. VAT is charged as a percentage (VAT rate) of value and added at every level of production of a good.
- Original VAT Rate = 1%
- New VAT Rate = 17%
- The VAT Rate value can be written in several equivalent ways:
- 1% = 1/100 = 1 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 438 (Pound, Euro) = The amount of money with VAT included (including VAT)
- Gross Amount = Net Amount + Original VAT Amount
1. Rewrite the Gross Amount formula:
- Formula:
- 1) Original VAT Amount = Original VAT Rate × Net Amount
- 2) Gross Amount = Net Amount + Original VAT Amount
- ...
- Substitute for the Original VAT Amount in the Gross Amount formula:
- Gross Amount = Net Amount + Original VAT Rate × Net Amount
- ...
- Please see that the Net Amount is a common factor:
- Gross Amount = Net Amount + Original VAT Rate × Net Amount ⇒
- Gross Amount = Net Amount × (1 + Original VAT Rate)
2. Calculate the Net Amount:
- Formula:
- Gross Amount = Net Amount × (1 + Original VAT Rate)
- Write the Net Amount based on the Gross Amount:
- Net Amount = Gross Amount ÷ (1 + Original VAT Rate)
Calculation:
Net Amount =
438 ÷ (1 + 1%) =
438 ÷ (1 + 1/100) =
438 ÷ (1 + 1 ÷ 100) =
438 ÷ (1 + 0.01) =
438 ÷ 1.01 ≈
433.663366336634 ≈
433.66
(Rounded off to a max. of 2 decimals)
3. Calculate the VAT Amount due to the Original VAT Rate:
- Formula:
- Original VAT Amount = Gross Amount - Net Amount
- The VAT Amount, charged by the operators, is transferred to the state budget.
Calculation:
Original VAT Amount =
438 - 433.663366336634 =
4.336633663366 ≈
4.34
(Rounded off to a max. of 2 decimals)
4. Calculate the VAT Amount due to the New VAT Rate:
- Formula:
- New VAT Amount = New VAT Rate × Net Amount
- The VAT Amount, charged by the operators, is transferred to the state budget.
Calculation:
New VAT Amount =
17% × 433.663366336634 =
17/100 × 433.663366336634 =
17 ÷ 100 × 433.663366336634 =
17 × 433.663366336634 ÷ 100 =
7,372.277227722778 ÷ 100 ≈
73.722772277228 ≈
73.72
(Rounded off to a max. of 2 decimals)
5. Calculate the New Gross Amount.
- Formula:
- New Gross Amount = Net Amount + New VAT Amount
Calculation:
New Gross Amount =
433.663366336634 + 73.722772277228 =
507.386138613862 ≈
507.39
(Rounded off to a max. of 2 decimals)
Net Amount = 433.66
Original VAT Amount (1%) = 4.34
New VAT Amount (17%) = 73.72
New Gross Amount = 507.39 (+ 69.39 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.