“Sixty per cent prefer the morning.” You are preparing a note for colleagues, and the sentence looks ready. Before using it, one question remains: sixty per cent of whom? Of the people invited, those who responded, or another group? The calculation can be correct while the wording leaves readers with a meaning the data do not support.
For psychologists and psychotherapists preparing study materials or professional communications, explaining a percentage means keeping the count, reference group and observed question together. We can practise with a completely fictional organisational survey. It contains no patient information, research findings or effectiveness estimates. Its purpose is to check what changes when we rewrite the same number.
Establish the group before the percentage
Imagine inviting 40 colleagues to select one preferred time for a training meeting: morning or afternoon. At the fictional survey deadline, Friday at 5 pm, 30 have responded. Of these, 18 choose the morning and 12 the afternoon. The remaining 10 people have not replied. Every count in this example was created for this exercise.
The numerator counts what you are discussing; the denominator identifies the total you relate it to. For morning preference among respondents, these numbers are 18 and 30. Divide 18 by 30 and multiply by 100 to obtain 60%. Changing the reference total changes the question that the result answers.
The ABS guide to describing frequencies distinguishes absolute counts from relative frequencies. A percentage expresses a share out of one hundred. In our example, you can write “18 of the 30 respondents, or 60%, selected the morning”, keeping both the actual count and its percentage expression visible to readers.
Keep missing responses visible too
The 18 morning preferences also represent 45% of the 40 people invited: divide 18 by 40 and multiply by 100. This is correct arithmetic, but it describes a different relationship. “Forty-five per cent of invitees selected the morning” and “sixty per cent of respondents selected the morning” can both be true in our scenario. They are not interchangeable versions of the same statement.
You cannot conclude that the remaining 55% of invitees prefer the afternoon. That group includes 12 afternoon preferences and 10 missing responses. We do not know whether those who did not reply prefer either time, cannot attend, or have another reason. Assigning them a preference would artificially complete the result with information we do not have.
To describe participation in the survey, you could add “30 of the 40 people invited responded, equivalent to 75%”. This describes responding, not the time selected. Keep the two details in separate sentences. A participation figure does not replace the preference figure or establish, by itself, how the group represents every colleague you might wish to involve.
Preserve meaning when changing the wording
“Sixty per cent of respondents” and “six respondents in ten” express the same proportion. The actual count in our example remains 18 out of 30. Do not turn this into an account of a survey conducted with ten people. You can show both expressions if that helps readers, while avoiding repeated changes of scale within one explanation.
CDC guidance recommends providing the calculations and keeping denominators consistent when comparing numbers. We apply that principle to an organisational communication, without assigning it an Index score. If you present morning and afternoon preferences among respondents, use the same total: 18 out of 30 and 12 out of 30, or 60% and 40%.
Do not place “60% among respondents” beside “30% among invitees” without explaining the change in base. The second figure comes from 12 out of 40 and is a possible description of the afternoon preferences received. Comparing 60 with 30 visually would suggest a different gap from comparing the two preferences within the same group.
Include the question and collection deadline
The survey asks about a preferred time. It does not ask for confirmed attendance, definitive availability or an assessment of the meeting’s quality. “Sixty per cent will attend in the morning” would therefore change the variable described. Even a correctly calculated percentage becomes misleading when a sentence replaces what was asked with what would be useful to know.
The CDC guide to explaining numbers recommends presenting them in context. For our note, that means identifying the question, who responded and when we closed the count. These details let a colleague understand what the result refers to without having to reconstruct the survey from an isolated percentage.
If further replies arrived after Friday at 5 pm, the note would need a new version. Keep a closing date even for an internal note. We are not establishing a deadline suitable for every survey. We are identifying the point in time to which these particular counts and their percentage belong, so that later changes can be distinguished.
Separate a frequency from a prediction
In the fictional group, we have described replies already received. We have not constructed a prediction for a future meeting. “There is a 60% probability that the next colleague will choose the morning” would require further reasoning about which person, group and conditions are involved. The ratio of 18 to 30 alone does not provide those details.
This does not mean percentages and probabilities can never be connected. It means explaining the step and its assumptions rather than changing the word without noticing. Our exercise defines neither a probability model nor a sampling method that would support that step. We therefore retain a descriptive statement about the people who responded to this fictional survey.
The same boundary applies to an individual. The preference expressed by a group does not tell us what a particular colleague will choose or why. Before using a figure in a real decision, distinguish what the count describes from other information needed. Clear wording makes that distinction visible; it does not remove the missing information or supply an individual prediction.
Draft a note with essential context
A complete version could read: “In the fictional organisational survey, closed on Friday at 5 pm, 30 of the 40 invited colleagues responded. Among respondents, 18 selected the morning as their preferred time: 60%. The other 12 chose the afternoon. We do not know the preferences of the 10 people who did not respond.” This preserves the number and its scope.
You can practise using invented counts, checking both the arithmetic and what each sentence communicates. To work on a non-clinical draft in an AI workspace, you can try PsyLab for free. Compare any rewrite with the original counts. Choosing the denominator, checking calculations and supporting the meaning of the communication remain the professional’s responsibility.