VAT Rate Update: Gross Price 834 (Pound, Euro) Currently Has a 40% VAT Rate. If Rate Is Changed to 31% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 834 with a different VAT Rate: from 40% to 31%
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 = 40%
- New VAT Rate = 31%
- The VAT Rate value can be written in several equivalent ways:
- 40% = 40/100 = 40 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 834 (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 =
834 ÷ (1 + 40%) =
834 ÷ (1 + 40/100) =
834 ÷ (1 + 40 ÷ 100) =
834 ÷ (1 + 0.4) =
834 ÷ 1.4 ≈
595.714285714286 ≈
595.71
(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 =
834 - 595.714285714286 =
238.285714285714 ≈
238.29
(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 =
31% × 595.714285714286 =
31/100 × 595.714285714286 =
31 ÷ 100 × 595.714285714286 =
31 × 595.714285714286 ÷ 100 =
18,467.142857142866 ÷ 100 ≈
184.671428571429 ≈
184.67
(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 =
595.714285714286 + 184.671428571429 =
780.385714285715 ≈
780.39
(Rounded off to a max. of 2 decimals)
Net Amount = 595.71
Original VAT Amount (40%) = 238.29
New VAT Amount (31%) = 184.67
New Gross Amount = 780.39 (- 53.61 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.