VAT Rate Update: Gross Price 200 (Pound, Euro) Currently Has a 46% VAT Rate. If Rate Is Changed to 3% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 200 with a different VAT Rate: from 46% to 3%
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 = 46%
- New VAT Rate = 3%
- The VAT Rate value can be written in several equivalent ways:
- 46% = 46/100 = 46 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 200 (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 =
200 ÷ (1 + 46%) =
200 ÷ (1 + 46/100) =
200 ÷ (1 + 46 ÷ 100) =
200 ÷ (1 + 0.46) =
200 ÷ 1.46 =
136.986301369863 ≈
136.99
(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 =
200 - 136.986301369863 =
63.013698630137 ≈
63.01
(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 =
3% × 136.986301369863 =
3/100 × 136.986301369863 =
3 ÷ 100 × 136.986301369863 =
3 × 136.986301369863 ÷ 100 =
410.958904109589 ÷ 100 ≈
4.109589041096 ≈
4.11
(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 =
136.986301369863 + 4.109589041096 =
141.095890410959 ≈
141.1
(Rounded off to a max. of 2 decimals)
Net Amount = 136.99
Original VAT Amount (46%) = 63.01
New VAT Amount (3%) = 4.11
New Gross Amount = 141.1 (- 58.9 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.