VAT Rate Update: Gross Price 838 (Pound, Euro) Currently Has a 50% 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 838 with a different VAT Rate: from 50% 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 = 50%
- New VAT Rate = 6%
- The VAT Rate value can be written in several equivalent ways:
- 50% = 50/100 = 50 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 838 (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 =
838 ÷ (1 + 50%) =
838 ÷ (1 + 50/100) =
838 ÷ (1 + 50 ÷ 100) =
838 ÷ (1 + 0.5) =
838 ÷ 1.5 ≈
558.666666666667 ≈
558.67
(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 =
838 - 558.666666666667 =
279.333333333333 ≈
279.33
(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% × 558.666666666667 =
6/100 × 558.666666666667 =
6 ÷ 100 × 558.666666666667 =
6 × 558.666666666667 ÷ 100 =
3,352.000000000002 ÷ 100 =
33.52
5. Calculate the New Gross Amount.
- Formula:
- New Gross Amount = Net Amount + New VAT Amount
Calculation:
New Gross Amount =
558.666666666667 + 33.52 =
592.186666666667 ≈
592.19
(Rounded off to a max. of 2 decimals)
Net Amount = 558.67
Original VAT Amount (50%) = 279.33
New VAT Amount (6%) = 33.52
New Gross Amount = 592.19 (- 245.81 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.