VAT Rate Update: Gross Price 830 (Pound, Euro) Currently Has a 9% VAT Rate. If Rate Is Changed to 16% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 830 with a different VAT Rate: from 9% to 16%

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 = 9%
  • New VAT Rate = 16%
  • The VAT Rate value can be written in several equivalent ways:
  • 9% = 9/100 = 9 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 830 (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 =


830 ÷ (1 + 9%) =


830 ÷ (1 + 9/100) =


830 ÷ (1 + 9 ÷ 100) =


830 ÷ (1 + 0.09) =


830 ÷ 1.09 ≈


761.467889908257 ≈


761.47
(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 =


830 - 761.467889908257 =


68.532110091743 ≈


68.53
(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 =


16% × 761.467889908257 =


16/100 × 761.467889908257 =


16 ÷ 100 × 761.467889908257 =


16 × 761.467889908257 ÷ 100 =


12,183.486238532112 ÷ 100 ≈


121.834862385321 ≈

121.83
(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 =


761.467889908257 + 121.834862385321 =


883.302752293578 ≈

883.3
(Rounded off to a max. of 2 decimals)


Net Amount = 761.47
Original VAT Amount (9%) = 68.53
New VAT Amount (16%) = 121.83
New Gross Amount = 883.3 (+ 53.3 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: