VAT Rate Update: Gross Price 642 (Pound, Euro) Currently Has a 8.25% VAT Rate. If Rate Is Changed to 20% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 642 with a different VAT Rate: from 8.25% to 20%

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 = 8.25%
  • New VAT Rate = 20%
  • The VAT Rate value can be written in several equivalent ways:
  • 8.25% = 8.25/100 = 8.25 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 642 (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 =


642 ÷ (1 + 8.25%) =


642 ÷ (1 + 8.25/100) =


642 ÷ (1 + 8.25 ÷ 100) =


642 ÷ (1 + 0.0825) =


642 ÷ 1.0825 ≈


593.071593533487 ≈


593.07
(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 =


642 - 593.071593533487 =


48.928406466513 ≈


48.93
(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 =


20% × 593.071593533487 =


20/100 × 593.071593533487 =


20 ÷ 100 × 593.071593533487 =


20 × 593.071593533487 ÷ 100 =


11,861.43187066974 ÷ 100 ≈


118.614318706697 ≈

118.61
(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 =


593.071593533487 + 118.614318706697 =


711.685912240184 ≈

711.69
(Rounded off to a max. of 2 decimals)


Net Amount = 593.07
Original VAT Amount (8.25%) = 48.93
New VAT Amount (20%) = 118.61
New Gross Amount = 711.69 (+ 69.69 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: