VAT Rate Update: Gross Price 11,400 (Pound, Euro) Currently Has a 13% VAT Rate. If Rate Is Changed to 16% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 11,400 with a different VAT Rate: from 13% to 16%
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 = 13%
- New VAT Rate = 16%
- The VAT Rate value can be written in several equivalent ways:
- 13% = 13/100 = 13 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 11,400 (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 =
11,400 ÷ (1 + 13%) =
11,400 ÷ (1 + 13/100) =
11,400 ÷ (1 + 13 ÷ 100) =
11,400 ÷ (1 + 0.13) =
11,400 ÷ 1.13 ≈
10,088.495575221239 ≈
10,088.5
(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 =
11,400 - 10,088.495575221239 =
1,311.504424778761 ≈
1,311.5
(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 =
16% × 10,088.495575221239 =
16/100 × 10,088.495575221239 =
16 ÷ 100 × 10,088.495575221239 =
16 × 10,088.495575221239 ÷ 100 =
161,415.929203539824 ÷ 100 ≈
1,614.159292035398 ≈
1,614.16
(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 =
10,088.495575221239 + 1,614.159292035398 =
11,702.654867256637 ≈
11,702.65
(Rounded off to a max. of 2 decimals)
Net Amount = 10,088.5
Original VAT Amount (13%) = 1,311.5
New VAT Amount (16%) = 1,614.16
New Gross Amount = 11,702.65 (+ 302.65 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.