VAT Rate Update: Gross Price 870 (Pound, Euro) Currently Has a 19% VAT Rate. If Rate Is Changed to 18% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 870 with a different VAT Rate: from 19% to 18%

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 = 19%
  • New VAT Rate = 18%
  • The VAT Rate value can be written in several equivalent ways:
  • 19% = 19/100 = 19 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 870 (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 =


870 ÷ (1 + 19%) =


870 ÷ (1 + 19/100) =


870 ÷ (1 + 19 ÷ 100) =


870 ÷ (1 + 0.19) =


870 ÷ 1.19 ≈


731.09243697479 ≈


731.09
(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 =


870 - 731.09243697479 =


138.90756302521 ≈


138.91
(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 =


18% × 731.09243697479 =


18/100 × 731.09243697479 =


18 ÷ 100 × 731.09243697479 =


18 × 731.09243697479 ÷ 100 =


13,159.66386554622 ÷ 100 ≈


131.596638655462 ≈

131.6
(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 =


731.09243697479 + 131.596638655462 =


862.689075630252 ≈

862.69
(Rounded off to a max. of 2 decimals)


Net Amount = 731.09
Original VAT Amount (19%) = 138.91
New VAT Amount (18%) = 131.6
New Gross Amount = 862.69 (- 7.31 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: