VAT Rate Update: Gross Price 664 (Pound, Euro) Currently Has a 18% VAT Rate. If Rate Is Changed to 40% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 664 with a different VAT Rate: from 18% to 40%
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 = 18%
- New VAT Rate = 40%
- The VAT Rate value can be written in several equivalent ways:
- 18% = 18/100 = 18 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 664 (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 =
664 ÷ (1 + 18%) =
664 ÷ (1 + 18/100) =
664 ÷ (1 + 18 ÷ 100) =
664 ÷ (1 + 0.18) =
664 ÷ 1.18 ≈
562.71186440678 ≈
562.71
(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 =
664 - 562.71186440678 =
101.28813559322 ≈
101.29
(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 =
40% × 562.71186440678 =
40/100 × 562.71186440678 =
40 ÷ 100 × 562.71186440678 =
40 × 562.71186440678 ÷ 100 =
22,508.4745762712 ÷ 100 =
225.084745762712 ≈
225.08
(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 =
562.71186440678 + 225.084745762712 =
787.796610169492 ≈
787.8
(Rounded off to a max. of 2 decimals)
Net Amount = 562.71
Original VAT Amount (18%) = 101.29
New VAT Amount (40%) = 225.08
New Gross Amount = 787.8 (+ 123.8 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.