VAT Rate Update: Gross Price 87,550 (Pound, Euro) Currently Has a 15% VAT Rate. If Rate Is Changed to 8.5% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 87,550 with a different VAT Rate: from 15% to 8.5%
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 = 15%
- New VAT Rate = 8.5%
- The VAT Rate value can be written in several equivalent ways:
- 15% = 15/100 = 15 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 87,550 (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 =
87,550 ÷ (1 + 15%) =
87,550 ÷ (1 + 15/100) =
87,550 ÷ (1 + 15 ÷ 100) =
87,550 ÷ (1 + 0.15) =
87,550 ÷ 1.15 ≈
76,130.434782608696 ≈
76,130.43
(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 =
87,550 - 76,130.434782608696 =
11,419.565217391304 ≈
11,419.57
(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 =
8.5% × 76,130.434782608696 =
8.5/100 × 76,130.434782608696 =
8.5 ÷ 100 × 76,130.434782608696 =
8.5 × 76,130.434782608696 ÷ 100 =
647,108.695652173916 ÷ 100 ≈
6,471.086956521739 ≈
6,471.09
(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 =
76,130.434782608696 + 6,471.086956521739 =
82,601.521739130435 ≈
82,601.52
(Rounded off to a max. of 2 decimals)
Net Amount = 76,130.43
Original VAT Amount (15%) = 11,419.57
New VAT Amount (8.5%) = 6,471.09
New Gross Amount = 82,601.52 (- 4,948.48 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.