VAT: Recalculate Gross Amount (With Tax Included), 45, From 20% Original VAT Rate to the New Rate of 17%. Calculate the Net Amount (Without Tax), the New Price (Gross Amount) and the Value of the VAT Tax

Calculate the Gross Amount 45 with a different VAT Rate

Gross Amount = The amount with VAT included (including VAT)


Net Amount = The amount without VAT (excluding VAT)


1. Rewrite the Gross Amount.

Formula:

Original VAT Amount = Original VAT Rate × Net Amount

Gross Amount = Net Amount + Original VAT Amount

⇒ Substitute for the Original VAT Amount in the Gross Amount formula


Gross Amount =

Net Amount + Original VAT Amount =

Net Amount + (Original VAT Rate × Net Amount) =

Net Amount × (1 + Original VAT Rate)


Formula:

Gross Amount = Net Amount × (1 + Original VAT Rate)

⇒ Net Amount = Gross Amount ÷ (1 + Original VAT Rate)


Calculation:

Net Amount =


45 ÷ (1 + 20%) =


45 ÷ (1 + 20/100) =


45 ÷ (1 + 20 ÷ 100) =


45 ÷ (1 + 0.2) =


45 ÷ 1.2 =


37.5


3. Calculate the VAT Amount due to the Original VAT Rate:

Formula:

Original VAT Amount =


Gross Amount - Net Amount


Calculation:

Original VAT Amount =


45 - 37.5 =


7.5


4. Calculate the VAT Amount due to the New VAT Rate:

Formula:

New VAT Amount =


New VAT Rate × Net Amount


Calculation:

New VAT Amount =


17% × 37.5 =


17/100 × 37.5 =


17 ÷ 100 × 37.5 =


17 × 37.5 ÷ 100 =


637.5 ÷ 100 =


6.375 ≈


6.38
(Rounded off to a maximum of 2 decimals)


5. Calculate the New Gross Amount.

Formula:

New Gross Amount =


Net Amount + New VAT Amount


Calculation:

New Gross Amount =


37.5 + 6.375 =


43.875 ≈


43.88
(Rounded off to a maximum of 2 decimals)

Net Amount = 37.5
Original VAT Amount (20%) = 7.5
New VAT Amount (17%) = 6.38
New Gross Amount = 43.88 (- 1.13 vs. initial)

Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal;

Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.



Recalculate Gross Amount (Tax Included) with a New VAT Rate

Gross Amount = Net Value × (1 + Tax%)

Net Amount = Gross Amount ÷ (1 + Tax%)

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All the Gross Amounts Recalculated With New VAT Rates

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: