VAT Rate Update: Gross Price 640 (Pound, Euro) Currently Has a 10% VAT Rate. If Rate Is Changed to 17% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 640 with a different VAT Rate: from 10% to 17%

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 = 10%
  • New VAT Rate = 17%
  • The VAT Rate value can be written in several equivalent ways:
  • 10% = 10/100 = 10 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 640 (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 =


640 ÷ (1 + 10%) =


640 ÷ (1 + 10/100) =


640 ÷ (1 + 10 ÷ 100) =


640 ÷ (1 + 0.1) =


640 ÷ 1.1 ≈


581.818181818182 ≈


581.82
(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 =


640 - 581.818181818182 =


58.181818181818 ≈


58.18
(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 =


17% × 581.818181818182 =


17/100 × 581.818181818182 =


17 ÷ 100 × 581.818181818182 =


17 × 581.818181818182 ÷ 100 =


9,890.909090909094 ÷ 100 ≈


98.909090909091 ≈

98.91
(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 =


581.818181818182 + 98.909090909091 =


680.727272727273 ≈

680.73
(Rounded off to a max. of 2 decimals)


Net Amount = 581.82
Original VAT Amount (10%) = 58.18
New VAT Amount (17%) = 98.91
New Gross Amount = 680.73 (+ 40.73 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: