VAT Rate Update: Gross Price 510 (Pound, Euro) Currently Has a 42% VAT Rate. If Rate Is Changed to 33% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 510 with a different VAT Rate: from 42% to 33%

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 = 33%
  • 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 = 510 (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 =


510 ÷ (1 + 42%) =


510 ÷ (1 + 42/100) =


510 ÷ (1 + 42 ÷ 100) =


510 ÷ (1 + 0.42) =


510 ÷ 1.42 ≈


359.154929577465 ≈


359.15
(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 =


510 - 359.154929577465 =


150.845070422535 ≈


150.85
(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 =


33% × 359.154929577465 =


33/100 × 359.154929577465 =


33 ÷ 100 × 359.154929577465 =


33 × 359.154929577465 ÷ 100 =


11,852.112676056345 ÷ 100 ≈


118.521126760563 ≈

118.52
(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 =


359.154929577465 + 118.521126760563 =


477.676056338028 ≈

477.68
(Rounded off to a max. of 2 decimals)


Net Amount = 359.15
Original VAT Amount (42%) = 150.85
New VAT Amount (33%) = 118.52
New Gross Amount = 477.68 (- 32.32 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: