VAT Rate Update: Gross Price 668 (Pound, Euro) Currently Has a 15.5% 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 668 with a different VAT Rate: from 15.5% 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 = 15.5%
  • New VAT Rate = 9%
  • The VAT Rate value can be written in several equivalent ways:
  • 15.5% = 15.5/100 = 15.5 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 668 (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 =


668 ÷ (1 + 15.5%) =


668 ÷ (1 + 15.5/100) =


668 ÷ (1 + 15.5 ÷ 100) =


668 ÷ (1 + 0.155) =


668 ÷ 1.155 ≈


578.354978354978 ≈


578.35
(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 =


668 - 578.354978354978 =


89.645021645022 ≈


89.65
(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% × 578.354978354978 =


9/100 × 578.354978354978 =


9 ÷ 100 × 578.354978354978 =


9 × 578.354978354978 ÷ 100 =


5,205.194805194802 ÷ 100 =


52.051948051948 ≈

52.05
(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 =


578.354978354978 + 52.051948051948 =


630.406926406926 ≈

630.41
(Rounded off to a max. of 2 decimals)


Net Amount = 578.35
Original VAT Amount (15.5%) = 89.65
New VAT Amount (9%) = 52.05
New Gross Amount = 630.41 (- 37.59 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: