TOPICS
Search

Percentage Change


The percentage change from a nonzero initial value x_0 to a final value x_1 is

 100(x_1-x_0)/(x_0)%.

A positive result is a percentage increase and a negative result is a percentage decrease. Percentage change is undefined when x_0=0, and it is not symmetric: reversing the initial and final values generally does not merely change the sign.


See also

Percent, Percentage Error, Relative Error

Explore with Wolfram|Alpha

References

OpenStax. "Solve General Applications of Percent." In Prealgebra 2e. Houston, TX: OpenStax, 2020. https://openstax.org/books/prealgebra-2e/pages/6-2-solve-general-applications-of-percent.

Cite this as:

Weisstein, Eric W. "Percentage Change." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PercentageChange.html

Subject classifications