VAT Rate Update: Gross Price 315,000 (Pound, Euro) Currently Has a 17% 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 315,000 with a different VAT Rate: from 17% 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 = 17%
  • New VAT Rate = 16%
  • The VAT Rate value can be written in several equivalent ways:
  • 17% = 17/100 = 17 ÷ 100
  • Net Amount = The amount without VAT (excluding VAT)
  • Gross Amount = 315,000 (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 =


315,000 ÷ (1 + 17%) =


315,000 ÷ (1 + 17/100) =


315,000 ÷ (1 + 17 ÷ 100) =


315,000 ÷ (1 + 0.17) =


315,000 ÷ 1.17 ≈


269,230.769230769231 ≈


269,230.77
(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 =


315,000 - 269,230.769230769231 =


45,769.230769230769 ≈


45,769.23
(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% × 269,230.769230769231 =


16/100 × 269,230.769230769231 =


16 ÷ 100 × 269,230.769230769231 =


16 × 269,230.769230769231 ÷ 100 =


4,307,692.307692307696 ÷ 100 ≈


43,076.923076923077 ≈

43,076.92
(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 =


269,230.769230769231 + 43,076.923076923077 =


312,307.692307692308 ≈

312,307.69
(Rounded off to a max. of 2 decimals)


Net Amount = 269,230.77
Original VAT Amount (17%) = 45,769.23
New VAT Amount (16%) = 43,076.92
New Gross Amount = 312,307.69 (- 2,692.31 vs. initial)

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

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: