VAT Rate Update: Gross Price 538 (Pound, Euro) Currently Has a 15.5% VAT Rate. If Rate Is Changed to 38% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 538 with a different VAT Rate: from 15.5% to 38%
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 = 15.5%
- New VAT Rate = 38%
- The VAT Rate value can be written in several equivalent ways:
- 15.5% = 15.5/100 = 15.5 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 538 (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 =
538 ÷ (1 + 15.5%) =
538 ÷ (1 + 15.5/100) =
538 ÷ (1 + 15.5 ÷ 100) =
538 ÷ (1 + 0.155) =
538 ÷ 1.155 ≈
465.800865800866 ≈
465.8
(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 =
538 - 465.800865800866 =
72.199134199134 ≈
72.2
(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 =
38% × 465.800865800866 =
38/100 × 465.800865800866 =
38 ÷ 100 × 465.800865800866 =
38 × 465.800865800866 ÷ 100 =
17,700.432900432908 ÷ 100 =
177.004329004329 ≈
177
(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 =
465.800865800866 + 177.004329004329 =
642.805194805195 ≈
642.81
(Rounded off to a max. of 2 decimals)
Net Amount = 465.8
Original VAT Amount (15.5%) = 72.2
New VAT Amount (38%) = 177
New Gross Amount = 642.81 (+ 104.81 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.