VAT Rate Update: Gross Price 118 (Pound, Euro) Currently Has a 14% VAT Rate. If Rate Is Changed to 13% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 118 with a different VAT Rate: from 14% to 13%
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 = 14%
- New VAT Rate = 13%
- The VAT Rate value can be written in several equivalent ways:
- 14% = 14/100 = 14 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 118 (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 =
118 ÷ (1 + 14%) =
118 ÷ (1 + 14/100) =
118 ÷ (1 + 14 ÷ 100) =
118 ÷ (1 + 0.14) =
118 ÷ 1.14 ≈
103.508771929825 ≈
103.51
(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 =
118 - 103.508771929825 =
14.491228070175 ≈
14.49
(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 =
13% × 103.508771929825 =
13/100 × 103.508771929825 =
13 ÷ 100 × 103.508771929825 =
13 × 103.508771929825 ÷ 100 =
1,345.614035087725 ÷ 100 ≈
13.456140350877 ≈
13.46
(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 =
103.508771929825 + 13.456140350877 =
116.964912280702 ≈
116.96
(Rounded off to a max. of 2 decimals)
Net Amount = 103.51
Original VAT Amount (14%) = 14.49
New VAT Amount (13%) = 13.46
New Gross Amount = 116.96 (- 1.04 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.