VAT Rate Update: Gross Price 100 (Pound, Euro) Currently Has a 5% VAT Rate. If Rate Is Changed to 13% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 100 with a different VAT Rate: from 5% to 13%

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 = 5%
  • New VAT Rate = 13%
  • The VAT Rate value can be written in several equivalent ways:
  • 5% = 5/100 = 5 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 100 (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)

2. Calculate the Net Amount:

  • 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 =

100 ÷ (1 + 5%) =

100 ÷ (1 + 5/100) =

100 ÷ (1 + 5 ÷ 100) =

100 ÷ (1 + 0.05) =

100 ÷ 1.05 ≈

95.238095238095 ≈

95.24
(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 =

100 - 95.238095238095 =

4.761904761905 ≈

4.76
(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 =

13% × 95.238095238095 =

13/100 × 95.238095238095 =

13 ÷ 100 × 95.238095238095 =

13 × 95.238095238095 ÷ 100 =

1,238.095238095235 ÷ 100 ≈

12.380952380952 ≈

12.38
(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 =

95.238095238095 + 12.380952380952 =

107.619047619047 ≈

107.62
(Rounded off to a max. of 2 decimals)


Net Amount = 95.24
Original VAT Amount (5%) = 4.76
New VAT Amount (13%) = 12.38
New Gross Amount = 107.62 (+ 7.62 vs. initial)

Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.

More operations, calculate prices with new VAT Rates:

» Calculate the Price 100 (the Gross Amount) With Different VAT Rate: From the Original VAT Rate of 5% to the New VAT Rate of 12% to calculate the Net Amount and the New Gross Amount

» Calculate the Price 100 (the Gross Amount) With Different VAT Rate: From the Original VAT Rate of 5% to the New VAT Rate of 14% to calculate the Net Amount and the New Gross Amount

» New: All the Calculations Performed by Our Visitors: Updated Prices For Different VAT Rates. Data organized on a Monthly Basis

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: