B = (1 + p%) × A = ? Increase (increment, change) numbers by percentages of their initial values and calculate the actual change (the absolute difference)

Increase numbers by percentage of their value, calculate the percentage increased values

The number 1,500 increased by 5% (5 percent) of its value = 1,575	Dec 07 05:39 UTC (GMT)
The number 5 increased by 250% (250 percent) of its value = 17.5	Dec 07 05:39 UTC (GMT)
The number 5.19 increased by 63% (63 percent) of its value = 8.4597	Dec 07 05:39 UTC (GMT)
The number 200 increased by 10,000,015% (10,000,015 percent) of its value = 20,000,230	Dec 07 05:39 UTC (GMT)
The number 47,500 increased by 5.7% (5.7 percent) of its value = 50,207.5	Dec 07 05:38 UTC (GMT)
The number 246.79 increased by 1% (1 percent) of its value = 249.2579	Dec 07 05:38 UTC (GMT)
The number 781,250 increased by 25% (25 percent) of its value = 976,562.5	Dec 07 05:38 UTC (GMT)
The number 21 increased by 3% (3 percent) of its value = 21.63	Dec 07 05:38 UTC (GMT)
The number 1,500,000 increased by - 39% (- 39 percent) of its value = 915,000	Dec 07 05:38 UTC (GMT)
The number 500 increased by 151.7% (151.7 percent) of its value = 1,258.5	Dec 07 05:38 UTC (GMT)
The number 646,000 increased by 32% (32 percent) of its value = 852,720	Dec 07 05:38 UTC (GMT)
The number 68,000 increased by 7.5% (7.5 percent) of its value = 73,100	Dec 07 05:38 UTC (GMT)
The number 1,200 increased by 8.2% (8.2 percent) of its value = 1,298.4	Dec 07 05:38 UTC (GMT)
All the numbers increased by percentages of their values

New value = Initial value + Absolute percentage change (difference)
Absolute percentage change (difference) = Percentage increase % × Initial value
=> New value = Initial value + Percentage increase % × Initial value = (1 + Percentage increase %) × Initial value
In conclusion:
New value = (1 + Percentage increase %) × Initial value
Initial value = New value / (1 + Percentage increase %)
Absolute percentage change (difference) = Percentage increase % × Initial value = New value - Initial value

How to increase a number by percentage of its initial value (percentage increase).
How to calculate the absolute percentage change (difference):

If Percentage increase % = 20%, (1 + Percentage increase %) = 1 + 20% = 100/100 + 20/100 = 120/100 = 1.20 =>
Number increased by value percentage = 1.20 × Initial value, and Initial value = Number increased by value percentage / 1.20; Absolute percentage change = New value - Initial value;

If Percentage increase % = 5%, (1 + Percentage increase %) = 1 + 5% = 100/100 + 5/100 = 105/100 = 1.05 =>
Number increased by value percentage = 1.05 × Initial value, and Initial value = Number increased by value percentage / 1.05; Absolute percentage change = New value - Initial value;

If Percentage increase % = 124%, (1 + Percentage increase %) = 1 + 124% = 100/100 + 124/100 = 224/100 = 2.24 =>
Number increased by value percentage = 2.24 × Initial value, and Initial value = Number increased by value percentage / 2.24; Absolute percentage change = New value - Initial value;

If Percentage increase % = -8%, (1 + Percentage increase %) = 1 - 8% = 100/100 - 8/100 = 92/100 = 0.92 =>
Number increased by value percentage = 0.92 × Initial value, and Initial value = Number increased by value percentage / 0.92; in this case we have in fact a decreasing of the value of the number; Absolute percentage change = New value - Initial value.