How to decrease the number 5,700
by - 1% of its value?
Value of Percentage Decrease. New Value
- A percentage value is nothing but a fraction with a denominator of 100:
- - 1% = - 1/100 = - 1 ÷ 100 = - 0.01
- ...
- 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 =
- 1% × 5,700
New Value =
The original value - Value of Percentage Decrease =
5,700 - (- 1% × 5,700)
1. Calculate the End Value
decreased by a percentage of its Initial Value
End Value =
5,700 - Value of Percentage Decrease =
5,700 - (- 1% × 5,700) =
5,700 + 1% × 5,700 =
(5,700 is a common factor)
(1 + 1%) × 5,700 =
(100% + 1%) × 5,700 =
101% × 5,700 =
101 ÷ 100 × 5,700 =
101 × 5,700 ÷ 100 =
575,700 ÷ 100 =
5,757
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 =
- 1% × 5,700
The second method:
Value of Percentage Decrease =
The original value - New Value
Value of Percentage Decrease =
- 57
The value of the decrease is negative, so we are actually dealing with a Percentage Increase.
The end value: 5,700 decreased by - 1% percent = 5,757
Value of Percentage Decrease = - 57