VAT Rate Update: Gross Price 9,836.79 (Pound, Euro) Currently Has a 21% VAT Rate. If Rate Is Changed to 9% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 9,836.79 with a different VAT Rate: from 21% to 9%
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 = 21%
- New VAT Rate = 9%
- The VAT Rate value can be written in several equivalent ways:
- 21% = 21/100 = 21 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 9,836.79 (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 =
9,836.79 ÷ (1 + 21%) =
9,836.79 ÷ (1 + 21/100) =
9,836.79 ÷ (1 + 21 ÷ 100) =
9,836.79 ÷ (1 + 0.21) =
9,836.79 ÷ 1.21 ≈
8,129.578512396694 ≈
8,129.58
(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 =
9,836.79 - 8,129.578512396694 =
1,707.211487603306 ≈
1,707.21
(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 =
9% × 8,129.578512396694 =
9/100 × 8,129.578512396694 =
9 ÷ 100 × 8,129.578512396694 =
9 × 8,129.578512396694 ÷ 100 =
73,166.206611570246 ÷ 100 ≈
731.662066115702 ≈
731.66
(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 =
8,129.578512396694 + 731.662066115702 =
8,861.240578512396 ≈
8,861.24
(Rounded off to a max. of 2 decimals)
Net Amount = 8,129.58
Original VAT Amount (21%) = 1,707.21
New VAT Amount (9%) = 731.66
New Gross Amount = 8,861.24 (- 975.55 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.