VAT Rate Update: Gross Price 20 (Pound, Euro) Currently Has a 7.7% VAT Rate. If Rate Is Changed to 7.5% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 20 with a different VAT Rate: from 7.7% to 7.5%
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 = 7.7%
- New VAT Rate = 7.5%
- The VAT Rate value can be written in several equivalent ways:
- 7.7% = 7.7/100 = 7.7 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 20 (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 =
20 ÷ (1 + 7.7%) =
20 ÷ (1 + 7.7/100) =
20 ÷ (1 + 7.7 ÷ 100) =
20 ÷ (1 + 0.077) =
20 ÷ 1.077 ≈
18.570102135562 ≈
18.57
(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 =
20 - 18.570102135562 =
1.429897864438 ≈
1.43
(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 =
7.5% × 18.570102135562 =
7.5/100 × 18.570102135562 =
7.5 ÷ 100 × 18.570102135562 =
7.5 × 18.570102135562 ÷ 100 =
139.275766016715 ÷ 100 ≈
1.392757660167 ≈
1.39
(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 =
18.570102135562 + 1.392757660167 =
19.962859795729 ≈
19.96
(Rounded off to a max. of 2 decimals)
Net Amount = 18.57
Original VAT Amount (7.7%) = 1.43
New VAT Amount (7.5%) = 1.39
New Gross Amount = 19.96 (- 0.04 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.