VAT Rate Update: Gross Price 962 (Pound, Euro) Currently Has a 15.5% 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 962 with a different VAT Rate: from 15.5% 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 = 15.5%
- New VAT Rate = 13%
- The VAT Rate value can be written in several equivalent ways:
- 15.5% = 15.5/100 = 15.5 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 962 (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 =
962 ÷ (1 + 15.5%) =
962 ÷ (1 + 15.5/100) =
962 ÷ (1 + 15.5 ÷ 100) =
962 ÷ (1 + 0.155) =
962 ÷ 1.155 ≈
832.900432900433 ≈
832.9
(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 =
962 - 832.900432900433 =
129.099567099567 ≈
129.1
(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 =
13% × 832.900432900433 =
13/100 × 832.900432900433 =
13 ÷ 100 × 832.900432900433 =
13 × 832.900432900433 ÷ 100 =
10,827.705627705629 ÷ 100 ≈
108.277056277056 ≈
108.28
(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 =
832.900432900433 + 108.277056277056 =
941.177489177489 ≈
941.18
(Rounded off to a max. of 2 decimals)
Net Amount = 832.9
Original VAT Amount (15.5%) = 129.1
New VAT Amount (13%) = 108.28
New Gross Amount = 941.18 (- 20.82 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.