How to decrease the number - 120
by 12.5% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- 12.5% = 12.5/100 = 12.5 ÷ 100 = 0.125
- ...
- To decrease a negative number, don't subtract from it, but add to it the 'Value of Percentage Decrease'.
- To decrease a positive number, subtract from it the 'Value of Percentage Decrease'.
- ...
Value of Percentage Decrease =
Percentage of the Decrease % × The original value =
12.5% × - 120
New Value =
The original value - Value of Percentage Decrease =
- 120 + (12.5% × - 120)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
- 120 + Value of Percentage Decrease =
- 120 + (12.5% × - 120) =
- 120 + 12.5% × - 120 =
(- 120 is a common factor)
(1 + 12.5%) × - 120 =
(100% + 12.5%) × - 120 =
112.5% × - 120 =
112.5 ÷ 100 × - 120 =
112.5 × - 120 ÷ 100 =
- 13,500 ÷ 100 =
- 135
2. Value of Percentage Decrease
It can be calculated in two ways.
The first method:
Value of Percentage Decrease =
Percentage of the Decrease % × The original value =
12.5% × - 120
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
15
The end value: - 120 decreased by 12.5% percent = - 135
Value of Percentage Decrease = 15