How to decrease the number - 24
by - 6% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- - 6% = - 6/100 = - 6 ÷ 100 = - 0.06
- ...
- 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 =
- 6% × - 24
New Value =
The original value - Value of Percentage Decrease =
- 24 + (- 6% × - 24)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
- 24 + Value of Percentage Decrease =
- 24 + (- 6% × - 24) =
- 24 - 6% × - 24 =
(- 24 is a common factor)
(1 - 6%) × - 24 =
(100% - 6%) × - 24 =
94% × - 24 =
94 ÷ 100 × - 24 =
94 × - 24 ÷ 100 =
- 2,256 ÷ 100 =
- 22.56
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 =
- 6% × - 24
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 1.44
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: - 24 decreased by - 6% percent = - 22.56
Value of Percentage Decrease = - 1.44