by 5% of its value?

... increased by percentage of its initial value

... between the new value and the initial one

The actual change:

1,575 - 1,500 = 75

The number 1,500 increased by 5% (5 percent) of its value = 1,575 | Feb 02 11:29 UTC (GMT) |

The number 16,135 increased by 6% (6 percent) of its value = 17,103.1 | Feb 02 11:29 UTC (GMT) |

The number 6,121.5 increased by 50% (50 percent) of its value = 9,182.25 | Feb 02 11:28 UTC (GMT) |

The number 8,182.1 increased by 4% (4 percent) of its value = 8,509.384 | Feb 02 11:28 UTC (GMT) |

The number 14.37 increased by 41% (41 percent) of its value = 20.2617 | Feb 02 11:28 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.