VAT Rate Update: Gross Price 36 (Pound, Euro) Currently Has a 2% VAT Rate. If Rate Is Changed to 5.7% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 36 with a different VAT Rate: from 2% to 5.7%
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 = 2%
- New VAT Rate = 5.7%
- 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 = 36 (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 =
36 ÷ (1 + 2%) =
36 ÷ (1 + 2/100) =
36 ÷ (1 + 2 ÷ 100) =
36 ÷ (1 + 0.02) =
36 ÷ 1.02 ≈
35.294117647059 ≈
35.29
(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 =
36 - 35.294117647059 =
0.705882352941 ≈
0.71
(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 =
5.7% × 35.294117647059 =
5.7/100 × 35.294117647059 =
5.7 ÷ 100 × 35.294117647059 =
5.7 × 35.294117647059 ÷ 100 ≈
201.176470588236 ÷ 100 ≈
2.011764705882 ≈
2.01
(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 =
35.294117647059 + 2.011764705882 =
37.305882352941 ≈
37.31
(Rounded off to a max. of 2 decimals)
Net Amount = 35.29
Original VAT Amount (2%) = 0.71
New VAT Amount (5.7%) = 2.01
New Gross Amount = 37.31 (+ 1.31 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.