Decrease a Number N by a P% Percent of Its Value. What Is the Result When the Number N Is Reduced (Discounted) by a Percentage?
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Decrease numbers by percentages of value: what is the result when a number is reduced by a percentage of its value?
The latest 10 numbers decreased by percentages of their values
Decrease numbers by percentages of their values and calculate the absolute percentage change (difference). Examples
How to calculate the new value of a number by decreasing it by percentage of its value and the absolute percentage change (difference)
- 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
Four examples of calculations below.
- Examples on how to decrease a number by percentage of its value and how to calculate the absolute percentage change.
Example 1:
- 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;
Example 2:
- 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;
Example 3:
- 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;
Example 4:
- 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.