VAT Rate Update: Gross Price 90 (Pound, Euro) Currently Has a 16% VAT Rate. If Rate Is Changed to 11% 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 16% to 11%
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 = 16%
- New VAT Rate = 11%
- The VAT Rate value can be written in several equivalent ways:
- 16% = 16/100 = 16 ÷ 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 + 16%) =
90 ÷ (1 + 16/100) =
90 ÷ (1 + 16 ÷ 100) =
90 ÷ (1 + 0.16) =
90 ÷ 1.16 ≈
77.586206896552 ≈
77.59
(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 - 77.586206896552 =
12.413793103448 ≈
12.41
(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 =
11% × 77.586206896552 =
11/100 × 77.586206896552 =
11 ÷ 100 × 77.586206896552 =
11 × 77.586206896552 ÷ 100 =
853.448275862072 ÷ 100 ≈
8.534482758621 ≈
8.53
(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 =
77.586206896552 + 8.534482758621 =
86.120689655173 ≈
86.12
(Rounded off to a max. of 2 decimals)
Net Amount = 77.59
Original VAT Amount (16%) = 12.41
New VAT Amount (11%) = 8.53
New Gross Amount = 86.12 (- 3.88 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.