VAT Rate Update: Gross Price 86 (Pound, Euro) Currently Has a 2% VAT Rate. If Rate Is Changed to 5.02% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 86 with a different VAT Rate: from 2% to 5.02%
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 = 5.02%
- 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 = 86 (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 =
86 ÷ (1 + 2%) =
86 ÷ (1 + 2/100) =
86 ÷ (1 + 2 ÷ 100) =
86 ÷ (1 + 0.02) =
86 ÷ 1.02 =
84.313725490196 ≈
84.31
(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 =
86 - 84.313725490196 =
1.686274509804 ≈
1.69
(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 =
5.02% × 84.313725490196 =
5.02/100 × 84.313725490196 =
5.02 ÷ 100 × 84.313725490196 =
5.02 × 84.313725490196 ÷ 100 ≈
423.254901960784 ÷ 100 ≈
4.232549019608 ≈
4.23
(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 =
84.313725490196 + 4.232549019608 =
88.546274509804 ≈
88.55
(Rounded off to a max. of 2 decimals)
Net Amount = 84.31
Original VAT Amount (2%) = 1.69
New VAT Amount (5.02%) = 4.23
New Gross Amount = 88.55 (+ 2.55 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.