VAT Rate Update: Gross Price 82.91 (Pound, Euro) Currently Has a 21% 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 82.91 with a different VAT Rate: from 21% 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 = 21%
  • New VAT Rate = 20%
  • The VAT Rate value can be written in several equivalent ways:
  • 21% = 21/100 = 21 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 82.91 (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 =


82.91 ÷ (1 + 21%) =


82.91 ÷ (1 + 21/100) =


82.91 ÷ (1 + 21 ÷ 100) =


82.91 ÷ (1 + 0.21) =


82.91 ÷ 1.21 ≈


68.520661157025 ≈


68.52
(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 =


82.91 - 68.520661157025 =


14.389338842975 ≈


14.39
(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% × 68.520661157025 =


20/100 × 68.520661157025 =


20 ÷ 100 × 68.520661157025 =


20 × 68.520661157025 ÷ 100 =


1,370.4132231405 ÷ 100 =


13.704132231405 ≈

13.7
(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 =


68.520661157025 + 13.704132231405 =


82.22479338843 ≈

82.22
(Rounded off to a max. of 2 decimals)


Net Amount = 68.52
Original VAT Amount (21%) = 14.39
New VAT Amount (20%) = 13.7
New Gross Amount = 82.22 (- 0.69 vs. initial)

Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.

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: