VAT Rate Update: Gross Price 642 (Pound, Euro) Currently Has a 8.25% VAT Rate. If Rate Is Changed to 20% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 642 with a different VAT Rate: from 8.25% to 20%
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 = 8.25%
- New VAT Rate = 20%
- The VAT Rate value can be written in several equivalent ways:
- 8.25% = 8.25/100 = 8.25 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 642 (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 =
642 ÷ (1 + 8.25%) =
642 ÷ (1 + 8.25/100) =
642 ÷ (1 + 8.25 ÷ 100) =
642 ÷ (1 + 0.0825) =
642 ÷ 1.0825 ≈
593.071593533487 ≈
593.07
(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 =
642 - 593.071593533487 =
48.928406466513 ≈
48.93
(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 =
20% × 593.071593533487 =
20/100 × 593.071593533487 =
20 ÷ 100 × 593.071593533487 =
20 × 593.071593533487 ÷ 100 =
11,861.43187066974 ÷ 100 ≈
118.614318706697 ≈
118.61
(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 =
593.071593533487 + 118.614318706697 =
711.685912240184 ≈
711.69
(Rounded off to a max. of 2 decimals)
Net Amount = 593.07
Original VAT Amount (8.25%) = 48.93
New VAT Amount (20%) = 118.61
New Gross Amount = 711.69 (+ 69.69 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.