by 10% of its value?

... decreased by percentage of its initial value

... between the new value and the initial one

The actual change:

124.2 - 138 = - 13.8

The number 138 decreased by 10% (percent) of its value = 124.2 | Feb 02 12:12 UTC (GMT) |

The number 1.16 decreased by 7% (percent) of its value = 1.0788 | Feb 02 12:12 UTC (GMT) |

The number 760,000 decreased by 5% (percent) of its value = 722,000 | Feb 02 12:12 UTC (GMT) |

The number 160 decreased by 5% (percent) of its value = 152 | Feb 02 12:12 UTC (GMT) |

The number 2,503 decreased by - 11% (percent) of its value = 2,778.33 | Feb 02 12:12 UTC (GMT) |

All the numbers decreased by percentages of their values |

- Percentage decreased number = Initial value - Absolute percentage change (difference)
- Absolute percentage change (difference) = Percentage decrease % × Initial value
- Percentage decreased number = Initial value - Percentage decrease % × Initial value = (1 - Percentage decrease %) × Initial value
- In conclusion:
#### Percentage decreased number = (1 - Percentage decrease %) × Initial value

#### Initial value =

^{Percentage decreased number}/_{(1 - Percentage decrease %)}#### Absolute percentage change (difference) = Percentage decrease % × Initial value = New value - Initial value

- How to decrease a number by percentage of its value
- How to calculate the absolute percentage change:

- If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 =>
**Percentage decreased number**= 0.8 × Initial value, and**Initial value**= Percentage decreased number / 0.8;**Absolute percentage change (difference)**= New value - Initial value;

- If Percentage decrease % = 5%, (1 - Percentage decrease %) = 1 - 5% = 100/100 - 5/100 = 95/100 = 0.95 =>
**Percentage decreased number**= 0.95 × Initial value, and**Initial value**= Percentage decreased number / 0.95;**Absolute percentage change (difference)**= New value - Initial value;

- If Percentage decrease % = 120%, (1 - Percentage decrease %) = 1 - 120% = 100/100 - 120/100 = -20/100 = -0.2 =>
**Percentage decreased number**= -0.2 × Initial value, and**Initial value**= Percentage decreased number / -0.2;**Absolute percentage change (difference)**= New value - Initial value;

- If Percentage decrease % = -30%, (1 - Percentage decrease %) = 1 - (-30%) = 1 + 30% = 100/100 + 30/100 = 130/100 = 1.3 =>
**Percentage decreased number**= 1.3 × Initial value, and**Initial value**= Percentage decreased number / 1.3; this is in fact a percentage increase of the initial number;**Absolute percentage change (difference)**= New value - Initial value.