VAT Rate Update: Gross Price 66 (Pound, Euro) Currently Has a 46% VAT Rate. If Rate Is Changed to 4% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 66 with a different VAT Rate: from 46% to 4%
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 = 46%
- New VAT Rate = 4%
- The VAT Rate value can be written in several equivalent ways:
- 46% = 46/100 = 46 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 66 (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 =
66 ÷ (1 + 46%) =
66 ÷ (1 + 46/100) =
66 ÷ (1 + 46 ÷ 100) =
66 ÷ (1 + 0.46) =
66 ÷ 1.46 ≈
45.205479452055 ≈
45.21
(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 =
66 - 45.205479452055 =
20.794520547945 ≈
20.79
(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 =
4% × 45.205479452055 =
4/100 × 45.205479452055 =
4 ÷ 100 × 45.205479452055 =
4 × 45.205479452055 ÷ 100 =
180.82191780822 ÷ 100 ≈
1.808219178082 ≈
1.81
(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 =
45.205479452055 + 1.808219178082 =
47.013698630137 ≈
47.01
(Rounded off to a max. of 2 decimals)
Net Amount = 45.21
Original VAT Amount (46%) = 20.79
New VAT Amount (4%) = 1.81
New Gross Amount = 47.01 (- 18.99 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.