VAT Rate Update: Gross Price 560 (Pound, Euro) Currently Has a 6% 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 560 with a different VAT Rate: from 6% 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 = 6%
- New VAT Rate = 13%
- The VAT Rate value can be written in several equivalent ways:
- 6% = 6/100 = 6 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 560 (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 =
560 ÷ (1 + 6%) =
560 ÷ (1 + 6/100) =
560 ÷ (1 + 6 ÷ 100) =
560 ÷ (1 + 0.06) =
560 ÷ 1.06 ≈
528.301886792453 ≈
528.3
(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 =
560 - 528.301886792453 =
31.698113207547 ≈
31.7
(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% × 528.301886792453 =
13/100 × 528.301886792453 =
13 ÷ 100 × 528.301886792453 =
13 × 528.301886792453 ÷ 100 =
6,867.924528301889 ÷ 100 ≈
68.679245283019 ≈
68.68
(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 =
528.301886792453 + 68.679245283019 =
596.981132075472 ≈
596.98
(Rounded off to a max. of 2 decimals)
Net Amount = 528.3
Original VAT Amount (6%) = 31.7
New VAT Amount (13%) = 68.68
New Gross Amount = 596.98 (+ 36.98 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.