“Complaints doubled” sounds dramatic. It might describe a change from two to four or from two thousand to four thousand. Both statements are mathematically correct, but they describe very different volumes of activity.
Ask for the missing base
A percentage needs a numerator and a denominator: the part being counted and the total it is measured against. In a fictional service report, 20 complaints among 1,000 visits is 2%. If the following period has 30 complaints among 3,000 visits, the complaint count rises while the complaints-per-visit rate falls to 1%.
Neither figure cancels the other. The organisation has more individual complaints to address, but a smaller proportion of visits generated one. Choosing which measure matters depends on the question, not on which produces the more flattering headline.
Three checks before sharing a comparison
- Are the groups counted in the same way? People, visits and submitted forms are different units.
- Do the periods match? A full year cannot be casually compared with an incomplete quarter.
- Did the reporting process change? An easier complaints form might increase recorded complaints without an equivalent change in service quality.
Also watch for percentages calculated only among respondents. “Half of respondents support the plan” is not automatically “half of residents support it.” Who responded, who was invited and how many did not answer all affect interpretation.
When the base is absent, find the original table or ask for it. If it cannot be found, describe the limitation rather than inventing a denominator. A careful summary can still be short: “The count increased, but the report does not provide the total number of visits.” That preserves the finding without pretending it answers a broader question.