VAT Rate Update: Gross Price 250 (Pound, Euro) Currently Has a 18% VAT Rate. If Rate Is Changed to 5.4% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 250 with a different VAT Rate: from 18% to 5.4%
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 = 5.4%
- 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 = 250 (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 =
250 ÷ (1 + 18%) =
250 ÷ (1 + 18/100) =
250 ÷ (1 + 18 ÷ 100) =
250 ÷ (1 + 0.18) =
250 ÷ 1.18 =
211.864406779661 ≈
211.86
(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 =
250 - 211.864406779661 =
38.135593220339 ≈
38.14
(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 =
5.4% × 211.864406779661 =
5.4/100 × 211.864406779661 =
5.4 ÷ 100 × 211.864406779661 =
5.4 × 211.864406779661 ÷ 100 ≈
1,144.067796610169 ÷ 100 ≈
11.440677966102 ≈
11.44
(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 =
211.864406779661 + 11.440677966102 =
223.305084745763 ≈
223.31
(Rounded off to a max. of 2 decimals)
Net Amount = 211.86
Original VAT Amount (18%) = 38.14
New VAT Amount (5.4%) = 11.44
New Gross Amount = 223.31 (- 26.69 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.