VAT Rate Update: Gross Price 44 (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 44 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 = 44 (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 =
44 ÷ (1 + 40%) =
44 ÷ (1 + 40/100) =
44 ÷ (1 + 40 ÷ 100) =
44 ÷ (1 + 0.4) =
44 ÷ 1.4 ≈
31.428571428571 ≈
31.43
(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 =
44 - 31.428571428571 =
12.571428571429 ≈
12.57
(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 =
31% × 31.428571428571 =
31/100 × 31.428571428571 =
31 ÷ 100 × 31.428571428571 =
31 × 31.428571428571 ÷ 100 =
974.285714285701 ÷ 100 =
9.742857142857 ≈
9.74
(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 =
31.428571428571 + 9.742857142857 =
41.171428571428 ≈
41.17
(Rounded off to a max. of 2 decimals)
Net Amount = 31.43
Original VAT Amount (40%) = 12.57
New VAT Amount (31%) = 9.74
New Gross Amount = 41.17 (- 2.83 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.