How to decrease the number 16
by - 0.5% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- - 0.5% = - 0.5/100 = - 0.5 ÷ 100 = - 0.005
- ...
- 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 =
- 0.5% × 16
New Value =
The original value - Value of Percentage Decrease =
16 - (- 0.5% × 16)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
16 - Value of Percentage Decrease =
16 - (- 0.5% × 16) =
16 + 0.5% × 16 =
(16 is a common factor)
(1 + 0.5%) × 16 =
(100% + 0.5%) × 16 =
100.5% × 16 =
100.5 ÷ 100 × 16 =
100.5 × 16 ÷ 100 =
1,608 ÷ 100 =
16.08
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 =
- 0.5% × 16
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 0.08
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: 16 decreased by - 0.5% percent = 16.08
Value of Percentage Decrease = - 0.08