VAT Rate Update: Gross Price 160 (Pound, Euro) Currently Has a 5% 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 160 with a different VAT Rate: from 5% 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 = 5%
  • New VAT Rate = 16%
  • 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 = 160 (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 =


160 ÷ (1 + 5%) =


160 ÷ (1 + 5/100) =


160 ÷ (1 + 5 ÷ 100) =


160 ÷ (1 + 0.05) =


160 ÷ 1.05 ≈


152.380952380952 ≈


152.38
(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 =


160 - 152.380952380952 =


7.619047619048 ≈


7.62
(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% × 152.380952380952 =


16/100 × 152.380952380952 =


16 ÷ 100 × 152.380952380952 =


16 × 152.380952380952 ÷ 100 =


2,438.095238095232 ÷ 100 ≈


24.380952380952 ≈

24.38
(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 =


152.380952380952 + 24.380952380952 =


176.761904761904 ≈

176.76
(Rounded off to a max. of 2 decimals)


Net Amount = 152.38
Original VAT Amount (5%) = 7.62
New VAT Amount (16%) = 24.38
New Gross Amount = 176.76 (+ 16.76 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: