VAT Rate Update: Gross Price 972 (Pound, Euro) Currently Has a 42% VAT Rate. If Rate Is Changed to 31% Calculate: New Gross Price, New VAT Amount, Net Price

Calculate new gross price, value of the VAT, net amount

Calculate the Gross Amount 972 with a different VAT Rate: from 42% to 31%

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 = 31%
  • 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 = 972 (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)

  • 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 =


972 ÷ (1 + 42%) =


972 ÷ (1 + 42/100) =


972 ÷ (1 + 42 ÷ 100) =


972 ÷ (1 + 0.42) =


972 ÷ 1.42 ≈


684.507042253521 ≈


684.51
(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 =


972 - 684.507042253521 =


287.492957746479 ≈


287.49
(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 =


31% × 684.507042253521 =


31/100 × 684.507042253521 =


31 ÷ 100 × 684.507042253521 =


31 × 684.507042253521 ÷ 100 =


21,219.718309859151 ÷ 100 ≈


212.197183098592 ≈

212.2
(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 =


684.507042253521 + 212.197183098592 =


896.704225352113 ≈

896.7
(Rounded off to a max. of 2 decimals)


Net Amount = 684.51
Original VAT Amount (42%) = 287.49
New VAT Amount (31%) = 212.2
New Gross Amount = 896.7 (- 75.3 vs. initial)

Calculate the Gross Amount (With Tax Included) With Different, New, VAT Rates

Step 1: Calculate the Net Amount (Without Tax)

Step 2: Add the New Tax Amount to the Net Amount

Examples of calculations: