VAT Rate Update: Gross Price 138 (Pound, Euro) Currently Has a 34% VAT Rate. If Rate Is Changed to 15% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 138 with a different VAT Rate: from 34% to 15%
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 = 34%
- New VAT Rate = 15%
- The VAT Rate value can be written in several equivalent ways:
- 34% = 34/100 = 34 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 138 (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 =
138 ÷ (1 + 34%) =
138 ÷ (1 + 34/100) =
138 ÷ (1 + 34 ÷ 100) =
138 ÷ (1 + 0.34) =
138 ÷ 1.34 ≈
102.985074626866 ≈
102.99
(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 =
138 - 102.985074626866 =
35.014925373134 ≈
35.01
(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 =
15% × 102.985074626866 =
15/100 × 102.985074626866 =
15 ÷ 100 × 102.985074626866 =
15 × 102.985074626866 ÷ 100 =
1,544.77611940299 ÷ 100 ≈
15.44776119403 ≈
15.45
(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 =
102.985074626866 + 15.44776119403 =
118.432835820896 ≈
118.43
(Rounded off to a max. of 2 decimals)
Net Amount = 102.99
Original VAT Amount (34%) = 35.01
New VAT Amount (15%) = 15.45
New Gross Amount = 118.43 (- 19.57 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.