VAT Rate Update: Gross Price 230 (Pound, Euro) Currently Has a 42% VAT Rate. If Rate Is Changed to 11% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 230 with a different VAT Rate: from 42% to 11%
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 = 42%
- New VAT Rate = 11%
- The VAT Rate value can be written in several equivalent ways:
- 42% = 42/100 = 42 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 230 (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 =
230 ÷ (1 + 42%) =
230 ÷ (1 + 42/100) =
230 ÷ (1 + 42 ÷ 100) =
230 ÷ (1 + 0.42) =
230 ÷ 1.42 ≈
161.971830985915 ≈
161.97
(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 =
230 - 161.971830985915 =
68.028169014085 ≈
68.03
(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 =
11% × 161.971830985915 =
11/100 × 161.971830985915 =
11 ÷ 100 × 161.971830985915 =
11 × 161.971830985915 ÷ 100 =
1,781.690140845065 ÷ 100 ≈
17.816901408451 ≈
17.82
(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 =
161.971830985915 + 17.816901408451 =
179.788732394366 ≈
179.79
(Rounded off to a max. of 2 decimals)
Net Amount = 161.97
Original VAT Amount (42%) = 68.03
New VAT Amount (11%) = 17.82
New Gross Amount = 179.79 (- 50.21 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.