What is the percent difference between 1 and 8?
Using this tool you can find the percent difference between any two values. So, we think you reached us looking for answers to questions like: 1) What is the percentage difference between 1 and 8? 2) What is the absolute difference between 1 and 8? Or may be: What is the percent difference between 1 and 8?
See the solution to these problems just after the Percent Difference Calculator below.
How to work out percentage differences - Step by Step
To find the percent difference between two values x and y, use this formula:
|% difference =||
|x - y|
(|x| + |y|)/2
Where: x and y are two values of a give variable. Note that percent difference is not equivalent or equal to percent change. Percent change is used when comparing a new value to an old value where the old value is used as a reference. Percent difference is used just to compare two values without considering any order. It doesn't matter which of the two values is written first. That is why the absolute value(*) is often used. Percent difference is also called relative percent difference.
(*) Note: absolute value means that we must consider always a positive value as for example: |1|=1 (absolute value of 1 is 1) and |-1|= 1 (absolute value of minus 1 is also 1). See more about percent difference here.
Here are the solutions to the questions stated above:
1) What is the percentage difference between 1 and 8?
Use the above formula to find the percent difference between two numbers. So, replacing the given values, we have the percent difference equation
= [(|8| - |1|) / (|1| + |8|)/2] x 100
= [(8 - 1) / (1 + 8) / 2] x 100
= [7 / 9 / 2] x 100
= (7 / 4.5) x 100
Where: y = 1 and x = 8, so |y| = 1 and |x| = 8
2) What is the absolute difference between 1 and 8?
This problem is not about percent difference, but about absolute difference:
The absolute difference of two real numbers x, y is given by |x − y|, the absolute value of their difference. The minus sign denotes subtraction and |z| means absolute value. Absolute difference describes the distance between the points corresponding to x and y on the real line.
Now that you know what is absolute difference, The solution is very simple: