A tool that computes the proportional rate at which a quantity alters over time or concerning another variable. It expresses the rate of change as a percentage of the initial value. For instance, if a company’s revenue increases from $100,000 to $110,000 in a year, the proportional change is 10%, representing the ratio of the increase ($10,000) to the original revenue ($100,000).
This calculation provides valuable insights across various fields, including finance, economics, and engineering. Its utility lies in facilitating comparisons of changes in different quantities, even when those quantities have disparate scales. Furthermore, understanding the fractional alteration in a variable’s value allows for the identification of trends, the assessment of growth or decay, and the optimization of processes. The conceptual framework underpinning it dates back to the development of calculus and statistical analysis.