VAT Rate Update: Gross Price 822 (Pound, Euro) Currently Has a 42% VAT Rate. If Rate Is Changed to 14% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 822 with a different VAT Rate: from 42% to 14%
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 = 42%
- New VAT Rate = 14%
- The VAT Rate value can be written in several equivalent ways:
- 42% = 42/100 = 42 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 822 (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 =
822 ÷ (1 + 42%) =
822 ÷ (1 + 42/100) =
822 ÷ (1 + 42 ÷ 100) =
822 ÷ (1 + 0.42) =
822 ÷ 1.42 ≈
578.87323943662 ≈
578.87
(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 =
822 - 578.87323943662 =
243.12676056338 ≈
243.13
(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 =
14% × 578.87323943662 =
14/100 × 578.87323943662 =
14 ÷ 100 × 578.87323943662 =
14 × 578.87323943662 ÷ 100 =
8,104.22535211268 ÷ 100 ≈
81.042253521127 ≈
81.04
(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 =
578.87323943662 + 81.042253521127 =
659.915492957747 ≈
659.92
(Rounded off to a max. of 2 decimals)
Net Amount = 578.87
Original VAT Amount (42%) = 243.13
New VAT Amount (14%) = 81.04
New Gross Amount = 659.92 (- 162.08 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.