VAT Rate Update: Gross Price 122 (Pound, Euro) Currently Has a 48% VAT Rate. If Rate Is Changed to 6% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 122 with a different VAT Rate: from 48% to 6%
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 = 48%
- New VAT Rate = 6%
- The VAT Rate value can be written in several equivalent ways:
- 48% = 48/100 = 48 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 122 (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 =
122 ÷ (1 + 48%) =
122 ÷ (1 + 48/100) =
122 ÷ (1 + 48 ÷ 100) =
122 ÷ (1 + 0.48) =
122 ÷ 1.48 ≈
82.432432432432 ≈
82.43
(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 =
122 - 82.432432432432 =
39.567567567568 ≈
39.57
(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 =
6% × 82.432432432432 =
6/100 × 82.432432432432 =
6 ÷ 100 × 82.432432432432 =
6 × 82.432432432432 ÷ 100 =
494.594594594592 ÷ 100 ≈
4.945945945946 ≈
4.95
(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 =
82.432432432432 + 4.945945945946 =
87.378378378378 ≈
87.38
(Rounded off to a max. of 2 decimals)
Net Amount = 82.43
Original VAT Amount (48%) = 39.57
New VAT Amount (6%) = 4.95
New Gross Amount = 87.38 (- 34.62 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.