VAT Rate Update: Gross Price 372 (Pound, Euro) Currently Has a 18% VAT Rate. If Rate Is Changed to 5.5% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 372 with a different VAT Rate: from 18% to 5.5%
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 = 18%
- New VAT Rate = 5.5%
- 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 = 372 (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 =
372 ÷ (1 + 18%) =
372 ÷ (1 + 18/100) =
372 ÷ (1 + 18 ÷ 100) =
372 ÷ (1 + 0.18) =
372 ÷ 1.18 ≈
315.254237288136 ≈
315.25
(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 =
372 - 315.254237288136 =
56.745762711864 ≈
56.75
(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 =
5.5% × 315.254237288136 =
5.5/100 × 315.254237288136 =
5.5 ÷ 100 × 315.254237288136 =
5.5 × 315.254237288136 ÷ 100 =
1,733.898305084748 ÷ 100 ≈
17.338983050847 ≈
17.34
(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 =
315.254237288136 + 17.338983050847 =
332.593220338983 ≈
332.59
(Rounded off to a max. of 2 decimals)
Net Amount = 315.25
Original VAT Amount (18%) = 56.75
New VAT Amount (5.5%) = 17.34
New Gross Amount = 332.59 (- 39.41 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.