VAT Rate Update: Gross Price 98 (Pound, Euro) Currently Has a 10% VAT Rate. If Rate Is Changed to 5% Calculate: New Gross Price, New VAT Amount, Net Price
Calculate new gross price, value of the VAT, net amount
Calculate the Gross Amount 98 with a different VAT Rate: from 10% to 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 = 10%
- New VAT Rate = 5%
- The VAT Rate value can be written in several equivalent ways:
- 10% = 10/100 = 10 ÷ 100
- Net Amount = The amount without VAT (excluding VAT)
- Gross Amount = 98 (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 =
98 ÷ (1 + 10%) =
98 ÷ (1 + 10/100) =
98 ÷ (1 + 10 ÷ 100) =
98 ÷ (1 + 0.1) =
98 ÷ 1.1 =
89.090909090909 ≈
89.09
(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 =
98 - 89.090909090909 =
8.909090909091 ≈
8.91
(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 =
5% × 89.090909090909 =
5/100 × 89.090909090909 =
5 ÷ 100 × 89.090909090909 =
5 × 89.090909090909 ÷ 100 =
445.454545454545 ÷ 100 ≈
4.454545454545 ≈
4.45
(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 =
89.090909090909 + 4.454545454545 =
93.545454545454 ≈
93.55
(Rounded off to a max. of 2 decimals)
Net Amount = 89.09
Original VAT Amount (10%) = 8.91
New VAT Amount (5%) = 4.45
New Gross Amount = 93.55 (- 4.45 vs. initial)
Used symbols: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.