VAT: Recalculate Gross Amounts Prices (With Tax Included) From Original VAT Rates to New Ones. Calculate Net Amounts (Without Tax) and the Value Amounts of Tax

Recalculate Gross Amounts (With Tax Incuded) With New VAT Rates

Initial Gross Amount = Net Amount + Initial Tax Amount
Initial Tax Amount = Initial Tax% × Net Amount
Initial Gross Amount = Net Amount + Initial Tax% × Net Amount = (1 + Initial Tax%) × Net Amount
Initial Gross Amount = (1 + Initial Tax%) × Net Amount
In conclusion:
Net Amount = Initial Gross Amount ÷ (1 + Initial Tax%) =

New Gross Amount = Net Amount + New Tax Amount
New Tax Amount = New Tax% × Net Amount
New Gross Amount = Net Amount + New Tax% × Net Amount = (1 + New Tax%) × Net Amount
In conclusion, New Gross Amount = (1 + New Tax%) × Net Amount = (1 + New Tax%) × Initial Gross Amount ÷ (1 + Initial Tax%) = ^{(1 + New Tax%)}/_{(1 + Initial Tax%)} × Initial Gross Amount
New Gross Amount = ^{(1 + New Tax%)}/_{(1 + Initial Tax%)} × Initial Gross Amount

Case 1: Initial Tax Rate = 20%, New Tax Rate = 19%

Step 1, Calculate Net Amount:
(1 + Initial Tax%) = 1 + 20% = ¹⁰⁰/_{100 + ²⁰/₁₀₀ = ¹²⁰/₁₀₀ = 1.2 => Initial Gross Amount = 1.2 × Net Amount, and Net Amount = Initial Gross Amount ÷ 1.2

Step 2, Add the New Tax Amount:
New Gross Amount = (1 + New Tax%) × Net Amount = (1 + 19%) × Net Amount = (¹⁰⁰/₁₀₀ + ¹⁹/₁₀₀) × Net Amount = ¹¹⁹/₁₀₀ × Net Amount = 1.19 × Net Amount = 1.19 × Initial Gross Amount ÷ 1.2 = ^1.19/_1.2 × Initial Gross Amount
Answer: New Gross Amount = (1.19 ÷ 1.2) × Initial Gross Amount}
Case 2: Initial Tax Rate = 20%, New Tax Rate = 5%

Step 1, Calculate Net Amount:
(1 + Initial Tax%) = 1 + 20% = ¹⁰⁰/₁₀₀ + ²⁰/₁₀₀ = ¹²⁰/₁₀₀ = 1.2 => Initial Gross Amount = 1.2 × Net Amount, and Net Amount = Initial Gross Amount ÷ 1.2

Step 2, Add the New Tax Amount:
New Gross Amount = (1 + New Tax%) × Net Amount = (1 + 5%) × Net Amount = (¹⁰⁰/₁₀₀ + ⁵/₁₀₀) × Net Amount = ¹⁰⁵/₁₀₀ × Net Amount = 1.05 × Net Amount = 1.05 × Initial Gross Amount ÷ 1.2 = ^1.05/_1.2 × Initial Gross Amount
Answer: New Gross Amount = (1.05 ÷ 1.2) × Initial Gross Amount.

46.25 recalculated from 20% initial tax to 16% new tax = 44.71	Jul 29 13:01 UTC (GMT)
3,540 recalculated from 19% initial tax to 16% new tax = 3,450.76	Jul 29 13:01 UTC (GMT)
302 recalculated from 24% initial tax to 40% new tax = 340.97	Jul 29 12:58 UTC (GMT)
34.16 recalculated from 20% initial tax to 7% new tax = 30.46	Jul 29 12:58 UTC (GMT)
714 recalculated from 3% initial tax to 21% new tax = 838.78	Jul 29 12:58 UTC (GMT)
32,000 recalculated from 24% initial tax to 20% new tax = 30,967.74	Jul 29 12:58 UTC (GMT)
1,263,000 recalculated from 12.5% initial tax to 7% new tax = 1,201,253.33	Jul 29 12:58 UTC (GMT)
0.148 recalculated from 24% initial tax to 16% new tax = 0	Jul 29 12:57 UTC (GMT)
204 recalculated from 6% initial tax to 24% new tax = 238.64	Jul 29 12:57 UTC (GMT)
956 recalculated from 24% initial tax to 18% new tax = 909.74	Jul 29 12:57 UTC (GMT)
377 recalculated from 24% initial tax to 14% new tax = 346.6	Jul 29 12:57 UTC (GMT)
990 recalculated from 32% initial tax to 14% new tax = 855	Jul 29 12:57 UTC (GMT)
42,480 recalculated from 20% initial tax to 15% new tax = 40,710	Jul 29 12:57 UTC (GMT)
All the Gross Amounts Recalculated With New VAT Rates