VAT Rate Update: Gross Price 11,497.14 (Pound, Euro) Currently Has a 20% VAT Rate. If Rate Is Changed to 7% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 11,497.14 with a different VAT Rate: from 20% to 7%
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 = 7%
- 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 = 11,497.14 (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 =
11,497.14 ÷ (1 + 20%) =
11,497.14 ÷ (1 + 20/100) =
11,497.14 ÷ (1 + 20 ÷ 100) =
11,497.14 ÷ (1 + 0.2) =
11,497.14 ÷ 1.2 =
9,580.95
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 =
11,497.14 - 9,580.95 =
1,916.19
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% × 9,580.95 =
7/100 × 9,580.95 =
7 ÷ 100 × 9,580.95 =
7 × 9,580.95 ÷ 100 =
67,066.65 ÷ 100 =
670.6665 ≈
670.67
(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 =
9,580.95 + 670.6665 =
10,251.6165 ≈
10,251.62
(Rounded off to a max. of 2 decimals)
Net Amount = 9,580.95
Original VAT Amount (20%) = 1,916.19
New VAT Amount (7%) = 670.67
New Gross Amount = 10,251.62 (- 1,245.52 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.