VAT Rate Update: Gross Price 500 (Pound, Euro) Currently Has a 42% VAT Rate. If Rate Is Changed to 25% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 500 with a different VAT Rate: from 42% to 25%
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 = 25%
- 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 = 500 (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 =
500 ÷ (1 + 42%) =
500 ÷ (1 + 42/100) =
500 ÷ (1 + 42 ÷ 100) =
500 ÷ (1 + 0.42) =
500 ÷ 1.42 =
352.112676056338 ≈
352.11
(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 =
500 - 352.112676056338 =
147.887323943662 ≈
147.89
(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 =
25% × 352.112676056338 =
25/100 × 352.112676056338 =
25 ÷ 100 × 352.112676056338 =
25 × 352.112676056338 ÷ 100 =
8,802.81690140845 ÷ 100 ≈
88.028169014085 ≈
88.03
(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 =
352.112676056338 + 88.028169014085 =
440.140845070423 ≈
440.14
(Rounded off to a max. of 2 decimals)
Net Amount = 352.11
Original VAT Amount (42%) = 147.89
New VAT Amount (25%) = 88.03
New Gross Amount = 440.14 (- 59.86 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.