VAT Rate Update: Gross Price 748 (Pound, Euro) Currently Has a 18% 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 748 with a different VAT Rate: from 18% to 15%
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 = 18%
- New VAT Rate = 15%
- The VAT Rate value can be written in several equivalent ways:
- 18% = 18/100 = 18 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 748 (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 =
748 ÷ (1 + 18%) =
748 ÷ (1 + 18/100) =
748 ÷ (1 + 18 ÷ 100) =
748 ÷ (1 + 0.18) =
748 ÷ 1.18 ≈
633.898305084746 ≈
633.9
(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 =
748 - 633.898305084746 =
114.101694915254 ≈
114.1
(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% × 633.898305084746 =
15/100 × 633.898305084746 =
15 ÷ 100 × 633.898305084746 =
15 × 633.898305084746 ÷ 100 =
9,508.47457627119 ÷ 100 ≈
95.084745762712 ≈
95.08
(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 =
633.898305084746 + 95.084745762712 =
728.983050847458 ≈
728.98
(Rounded off to a max. of 2 decimals)
Net Amount = 633.9
Original VAT Amount (18%) = 114.1
New VAT Amount (15%) = 95.08
New Gross Amount = 728.98 (- 19.02 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.