VAT Rate Update: Gross Price 828 (Pound, Euro) Currently Has a 8.25% VAT Rate. If Rate Is Changed to 9% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 828 with a different VAT Rate: from 8.25% to 9%

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 = 9%
  • 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 = 828 (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 =


828 ÷ (1 + 8.25%) =


828 ÷ (1 + 8.25/100) =


828 ÷ (1 + 8.25 ÷ 100) =


828 ÷ (1 + 0.0825) =


828 ÷ 1.0825 ≈


764.896073903002 ≈


764.9
(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 =


828 - 764.896073903002 =


63.103926096998 ≈


63.1
(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 =


9% × 764.896073903002 =


9/100 × 764.896073903002 =


9 ÷ 100 × 764.896073903002 =


9 × 764.896073903002 ÷ 100 =


6,884.064665127018 ÷ 100 ≈


68.84064665127 ≈

68.84
(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 =


764.896073903002 + 68.84064665127 =


833.736720554272 ≈

833.74
(Rounded off to a max. of 2 decimals)


Net Amount = 764.9
Original VAT Amount (8.25%) = 63.1
New VAT Amount (9%) = 68.84
New Gross Amount = 833.74 (+ 5.74 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: