VAT Rate Update: Gross Price 658 (Pound, Euro) Currently Has a 2% VAT Rate. If Rate Is Changed to 5.01% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 658 with a different VAT Rate: from 2% to 5.01%
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 = 2%
- New VAT Rate = 5.01%
- The VAT Rate value can be written in several equivalent ways:
- 2% = 2/100 = 2 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 658 (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 =
658 ÷ (1 + 2%) =
658 ÷ (1 + 2/100) =
658 ÷ (1 + 2 ÷ 100) =
658 ÷ (1 + 0.02) =
658 ÷ 1.02 ≈
645.098039215686 ≈
645.1
(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 =
658 - 645.098039215686 =
12.901960784314 ≈
12.9
(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 =
5.01% × 645.098039215686 =
5.01/100 × 645.098039215686 =
5.01 ÷ 100 × 645.098039215686 =
5.01 × 645.098039215686 ÷ 100 ≈
3,231.941176470587 ÷ 100 ≈
32.319411764706 ≈
32.32
(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 =
645.098039215686 + 32.319411764706 =
677.417450980392 ≈
677.42
(Rounded off to a max. of 2 decimals)
Net Amount = 645.1
Original VAT Amount (2%) = 12.9
New VAT Amount (5.01%) = 32.32
New Gross Amount = 677.42 (+ 19.42 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.