VAT Rate Update: Gross Price 87.57 (Pound, Euro) Currently Has a 20% VAT Rate. If Rate Is Changed to 18% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 87.57 with a different VAT Rate: from 20% to 18%
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 = 20%
- New VAT Rate = 18%
- The VAT Rate value can be written in several equivalent ways:
- 20% = 20/100 = 20 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 87.57 (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 =
87.57 ÷ (1 + 20%) =
87.57 ÷ (1 + 20/100) =
87.57 ÷ (1 + 20 ÷ 100) =
87.57 ÷ (1 + 0.2) =
87.57 ÷ 1.2 =
72.975 ≈
72.98
(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 =
87.57 - 72.975 =
14.595 ≈
14.6
(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 =
18% × 72.975 =
18/100 × 72.975 =
18 ÷ 100 × 72.975 =
18 × 72.975 ÷ 100 =
1,313.55 ÷ 100 =
13.1355 ≈
13.14
(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 =
72.975 + 13.1355 =
86.1105 ≈
86.11
(Rounded off to a max. of 2 decimals)
Net Amount = 72.98
Original VAT Amount (20%) = 14.6
New VAT Amount (18%) = 13.14
New Gross Amount = 86.11 (- 1.46 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.