VAT Rate Update: Gross Price 138.7 (Pound, Euro) Currently Has a 20% VAT Rate. If Rate Is Changed to 15% Calculate: New Gross Price, New VAT Amount, Net Price

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

Calculate the Gross Amount 138.7 with a different VAT Rate: from 20% to 15%

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 = 20%
  • New VAT Rate = 15%
  • The VAT Rate value can be written in several equivalent ways:
  • 20% = 20/100 = 20 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 138.7 (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 =

138.7 ÷ (1 + 20%) =

138.7 ÷ (1 + 20/100) =

138.7 ÷ (1 + 20 ÷ 100) =

138.7 ÷ (1 + 0.2) =

138.7 ÷ 1.2 ≈

115.583333333333 ≈

115.58
(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 =

138.7 - 115.583333333333 =

23.116666666667 ≈

23.12
(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 =

15% × 115.583333333333 =

15/100 × 115.583333333333 =

15 ÷ 100 × 115.583333333333 =

15 × 115.583333333333 ÷ 100 =

1,733.749999999995 ÷ 100 ≈

17.3375 ≈

17.34
(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 =

115.583333333333 + 17.3375 =

132.920833333333 ≈

132.92
(Rounded off to a max. of 2 decimals)


Net Amount = 115.58
Original VAT Amount (20%) = 23.12
New VAT Amount (15%) = 17.34
New Gross Amount = 132.92 (- 5.78 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 138.7 (the Gross Amount) With Different VAT Rate: From the Original VAT Rate of 20% to the New VAT Rate of 14% to calculate the Net Amount and the New Gross Amount

» Calculate the Price 138.7 (the Gross Amount) With Different VAT Rate: From the Original VAT Rate of 20% to the New VAT Rate of 16% 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: