VAT Rate Update: Gross Price 764 (Pound, Euro) Currently Has a 10% 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 764 with a different VAT Rate: from 10% 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 = 10%
- New VAT Rate = 7%
- The VAT Rate value can be written in several equivalent ways:
- 10% = 10/100 = 10 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 764 (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 =
764 ÷ (1 + 10%) =
764 ÷ (1 + 10/100) =
764 ÷ (1 + 10 ÷ 100) =
764 ÷ (1 + 0.1) =
764 ÷ 1.1 ≈
694.545454545455 ≈
694.55
(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 =
764 - 694.545454545455 =
69.454545454545 ≈
69.45
(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% × 694.545454545455 =
7/100 × 694.545454545455 =
7 ÷ 100 × 694.545454545455 =
7 × 694.545454545455 ÷ 100 =
4,861.818181818185 ÷ 100 ≈
48.618181818182 ≈
48.62
(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 =
694.545454545455 + 48.618181818182 =
743.163636363637 ≈
743.16
(Rounded off to a max. of 2 decimals)
Net Amount = 694.55
Original VAT Amount (10%) = 69.45
New VAT Amount (7%) = 48.62
New Gross Amount = 743.16 (- 20.84 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.