How to decrease the number 14.5
by - 10% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- - 10% = - 10/100 = - 10 ÷ 100 = - 0.1
- ...
- 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 =
- 10% × 14.5
New Value =
The original value - Value of Percentage Decrease =
14.5 - (- 10% × 14.5)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
14.5 - Value of Percentage Decrease =
14.5 - (- 10% × 14.5) =
14.5 + 10% × 14.5 =
(14.5 is a common factor)
(1 + 10%) × 14.5 =
(100% + 10%) × 14.5 =
110% × 14.5 =
110 ÷ 100 × 14.5 =
110 × 14.5 ÷ 100 =
1,595 ÷ 100 =
15.95
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 =
- 10% × 14.5
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 1.45
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: 14.5 decreased by - 10% percent = 15.95
Value of Percentage Decrease = - 1.45