VAT Rate Update: Gross Price 882 (Pound, Euro) Currently Has a 18% VAT Rate. If Rate Is Changed to 5.2% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 882 with a different VAT Rate: from 18% to 5.2%

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 = 5.2%
  • 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 = 882 (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 =


882 ÷ (1 + 18%) =


882 ÷ (1 + 18/100) =


882 ÷ (1 + 18 ÷ 100) =


882 ÷ (1 + 0.18) =


882 ÷ 1.18 =


747.457627118644 ≈


747.46
(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 =


882 - 747.457627118644 =


134.542372881356 ≈


134.54
(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 =


5.2% × 747.457627118644 =


5.2/100 × 747.457627118644 =


5.2 ÷ 100 × 747.457627118644 =


5.2 × 747.457627118644 ÷ 100 ≈


3,886.779661016949 ÷ 100 ≈


38.867796610169 ≈

38.87
(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 =


747.457627118644 + 38.867796610169 =


786.325423728813 ≈

786.33
(Rounded off to a max. of 2 decimals)


Net Amount = 747.46
Original VAT Amount (18%) = 134.54
New VAT Amount (5.2%) = 38.87
New Gross Amount = 786.33 (- 95.67 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: