VAT Rate Update: Gross Price 90 (Pound, Euro) Currently Has a 32% VAT Rate. If Rate Is Changed to 5.1% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 90 with a different VAT Rate: from 32% to 5.1%
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 = 32%
- New VAT Rate = 5.1%
- The VAT Rate value can be written in several equivalent ways:
- 32% = 32/100 = 32 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 90 (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 =
90 ÷ (1 + 32%) =
90 ÷ (1 + 32/100) =
90 ÷ (1 + 32 ÷ 100) =
90 ÷ (1 + 0.32) =
90 ÷ 1.32 ≈
68.181818181818 ≈
68.18
(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 =
90 - 68.181818181818 =
21.818181818182 ≈
21.82
(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 =
5.1% × 68.181818181818 =
5.1/100 × 68.181818181818 =
5.1 ÷ 100 × 68.181818181818 =
5.1 × 68.181818181818 ÷ 100 ≈
347.727272727272 ÷ 100 ≈
3.477272727273 ≈
3.48
(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 =
68.181818181818 + 3.477272727273 =
71.659090909091 ≈
71.66
(Rounded off to a max. of 2 decimals)
Net Amount = 68.18
Original VAT Amount (32%) = 21.82
New VAT Amount (5.1%) = 3.48
New Gross Amount = 71.66 (- 18.34 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.