How to decrease the number 100
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 positive number, subtract from it the 'Value of Percentage Decrease'.
- To decrease a negative number, don't subtract from it, but add to it the 'Value of Percentage Decrease'.
- ...
Value of Percentage Decrease =
Percentage of the Decrease % × The original value =
- 6% × 100
New Value =
The original value - Value of Percentage Decrease =
100 - (- 6% × 100)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
100 - Value of Percentage Decrease =
100 - (- 6% × 100) =
100 + 6% × 100 =
(100 is a common factor)
(1 + 6%) × 100 =
(100% + 6%) × 100 =
106% × 100 =
106 ÷ 100 × 100 =
106 × 100 ÷ 100 =
10,600 ÷ 100 =
106
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% × 100
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 6
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: 100 decreased by - 6% percent = 106
Value of Percentage Decrease = - 6