VAT Rate Update: Gross Price 34 (Pound, Euro) Currently Has a 5% VAT Rate. If Rate Is Changed to 31% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 34 with a different VAT Rate: from 5% to 31%
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 = 5%
- New VAT Rate = 31%
- The VAT Rate value can be written in several equivalent ways:
- 5% = 5/100 = 5 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 34 (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 =
34 ÷ (1 + 5%) =
34 ÷ (1 + 5/100) =
34 ÷ (1 + 5 ÷ 100) =
34 ÷ (1 + 0.05) =
34 ÷ 1.05 ≈
32.380952380952 ≈
32.38
(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 =
34 - 32.380952380952 =
1.619047619048 ≈
1.62
(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 =
31% × 32.380952380952 =
31/100 × 32.380952380952 =
31 ÷ 100 × 32.380952380952 =
31 × 32.380952380952 ÷ 100 =
1,003.809523809512 ÷ 100 ≈
10.038095238095 ≈
10.04
(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 =
32.380952380952 + 10.038095238095 =
42.419047619047 ≈
42.42
(Rounded off to a max. of 2 decimals)
Net Amount = 32.38
Original VAT Amount (5%) = 1.62
New VAT Amount (31%) = 10.04
New Gross Amount = 42.42 (+ 8.42 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.