VAT Rate Update: Gross Price 14 (Pound, Euro) Currently Has a 8.25% VAT Rate. If Rate Is Changed to 5% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 14 with a different VAT Rate: from 8.25% to 5%
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 = 5%
- 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 = 14 (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 =
14 ÷ (1 + 8.25%) =
14 ÷ (1 + 8.25/100) =
14 ÷ (1 + 8.25 ÷ 100) =
14 ÷ (1 + 0.0825) =
14 ÷ 1.0825 =
12.933025404157 ≈
12.93
(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 =
14 - 12.933025404157 =
1.066974595843 ≈
1.07
(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 =
5% × 12.933025404157 =
5/100 × 12.933025404157 =
5 ÷ 100 × 12.933025404157 =
5 × 12.933025404157 ÷ 100 =
64.665127020785 ÷ 100 ≈
0.646651270208 ≈
0.65
(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 =
12.933025404157 + 0.646651270208 =
13.579676674365 ≈
13.58
(Rounded off to a max. of 2 decimals)
Net Amount = 12.93
Original VAT Amount (8.25%) = 1.07
New VAT Amount (5%) = 0.65
New Gross Amount = 13.58 (- 0.42 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.