pandas pct_change and cumsum: Percent Change and Running Totals

By Michael Nocito , data analyst · Published August 8, 2026 By the end of this page you can turn transactions into a monthly series, add period-on-period change and a cumulative total, get a share-of-total column, smooth a noisy line, and run all of it separately for every group. It is about twenty-five minutes, and every number below came out of running the code. Here is what to do today, on the series you already have. Count its rows against the number of periods in your date range. If your data covers January to May and the series has four rows, a period produced nothing, it never became a row, and every change figure after the gap is comparing the wrong pair. The short version: pct_change() divides each value by the one in the row above; cumsum() adds everything up to and including the current row. Both trust the rows you gave them to be the periods you meant. What happens when the previous period is zero is the idea, so it gets the picture. The original carries a diagram here. In words: Three bar positions stand on a baseline, labelled Mar, Apr and May. The March position holds a tall bar and the May position holds a slightly shorter tall bar. The April position holds no bar at all; there is only a short flat mark sitting on the baseline where a bar would start, drawn in amber to show a value of zero. An arc runs from the top of the March bar down to the April mark, and the figure minus one hundred percent is printed on it, which is a perfectly ordinary answer. A second arc runs from the April mark up to the top of the May bar, and the symbol printed on that one is not a percentage at all but the sideways figure eight that means infinity. The picture shows that a fall to nothing has an answer and a rise from nothing does not. Every number on this page is real. The sixteen-row orders table used across this whole set of guides, run in pandas 3.0.2. It runs from 5 January to 25 May 2026 and contains no April orders at all, which is not staged for this page; it is