VAT Rate Update: Gross Price 152 (Pound, Euro) Currently Has a 16% 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 152 with a different VAT Rate: from 16% to 13%
Recalculate Gross Amount (Tax Included) with a New VAT Rate
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 = 16%
- New VAT Rate = 13%
- The VAT Rate value can be written in several equivalent ways:
- 16% = 16/100 = 16 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 152 (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 =
152 ÷ (1 + 16%) =
152 ÷ (1 + 16/100) =
152 ÷ (1 + 16 ÷ 100) =
152 ÷ (1 + 0.16) =
152 ÷ 1.16 ≈
131.034482758621 ≈
131.03
(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 =
152 - 131.034482758621 =
20.965517241379 ≈
20.97
(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% × 131.034482758621 =
13/100 × 131.034482758621 =
13 ÷ 100 × 131.034482758621 =
13 × 131.034482758621 ÷ 100 =
1,703.448275862073 ÷ 100 ≈
17.034482758621 ≈
17.03
(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 =
131.034482758621 + 17.034482758621 =
148.068965517242 ≈
148.07
(Rounded off to a max. of 2 decimals)
Net Amount = 131.03
Original VAT Amount (16%) = 20.97
New VAT Amount (13%) = 17.03
New Gross Amount = 148.07 (- 3.93 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.