VAT Rate Update: Gross Price 40,000 (Pound, Euro) Currently Has a 18% VAT Rate. If Rate Is Changed to 7.64% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 40,000 with a different VAT Rate: from 18% to 7.64%

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 = 18%
  • New VAT Rate = 7.64%
  • The VAT Rate value can be written in several equivalent ways:
  • 18% = 18/100 = 18 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 40,000 (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 =


40,000 ÷ (1 + 18%) =


40,000 ÷ (1 + 18/100) =


40,000 ÷ (1 + 18 ÷ 100) =


40,000 ÷ (1 + 0.18) =


40,000 ÷ 1.18 ≈


33,898.305084745763 ≈


33,898.31
(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 =


40,000 - 33,898.305084745763 =


6,101.694915254237 ≈


6,101.69
(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 =


7.64% × 33,898.305084745763 =


7.64/100 × 33,898.305084745763 =


7.64 ÷ 100 × 33,898.305084745763 =


7.64 × 33,898.305084745763 ÷ 100 ≈


258,983.050847457629 ÷ 100 ≈


2,589.830508474576 ≈

2,589.83
(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 =


33,898.305084745763 + 2,589.830508474576 =


36,488.135593220339 ≈

36,488.14
(Rounded off to a max. of 2 decimals)


Net Amount = 33,898.31
Original VAT Amount (18%) = 6,101.69
New VAT Amount (7.64%) = 2,589.83
New Gross Amount = 36,488.14 (- 3,511.86 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: