Calculate the Relative Percent Change From 1.83 (Original, Reference) to 2.03 (New, End Value) and the Actual Change (Absolute Difference, Variation). Online Calculator
Calculate the relative percent change, from number 1.83 to 2.03 and the actual change (absolute difference)
The relative change. Definition and Formula:
The relative change:
the difference in an indicator 'v' over two periods in time,
(v2 - v1),
relative to the value of the indicator in the earlier period, v1:
(v2 - v1) / |v1| = The actual change / |v1|
Legend:
v2 = 2.03 - new value (the end value)
v1 = 1.83 - reference value (original, initial number)
/ - the fraction bar (division)
|v1| - the positive value of v1, |v1| >= 0
Example: if v1 = -10, |v1| = 10
The actual change = v2 - v1
The relative percent change. Detailed calculations below
By multiplying a number by the fraction 100/100,
we change only the form of the result, not the result.
100/100 = 100% = 100 ÷ 100 = 1.
n × 100/100 = (n × 100)/100 = (n × 100)%, any number.
The relative percent change. Formula:
The relative percent change =
The relative change × 100/100 =
(The relative change × 100)/100 =
(The relative change × 100)%
Calculate the relative percent change:
(2.03 - 1.83)/|1.83| =
0.2/1.83 =
0.2 ÷ 1.83 =
0.2 ÷ 1.83 × 100/100 =
(0.2 × 100 ÷ 1.83)/100 =
(20 ÷ 1.83)/100 ≈
10.928961748634/100 =
10.928961748634% ≈
10.93%
(Rounded off to max. 2 decimal places)
The relative percent change...
from the initial value 1.83 to the final value 2.03:
Rounded off to max. 12 decimal places ≈ 10.928961748634%
Rounded off to max. 2 decimal places ≈ 10.93%
The actual change
2.03 - 1.83 = 0.2
The relative percent change is positive...
so in this case we have a relative percent increase.
(the number's value goes up)
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same, |n| - the positive value of n, |n| >= 0. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.