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Percentage Points vs Percent: Check the Maths Behind a News Headline
Worked examples show why a rate moving from 20% to 25% rises by five percentage points but 25 percent, plus a checklist for fair comparisons.
Two correct numbers can describe the same change
A rate moving from 20% to 25% has increased by five percentage points. Relative to the original rate, it has increased by 25%: the difference of five divided by the starting value of twenty, multiplied by one hundred. The figures answer different questions. Confusing their units can make the same result sound much smaller or much larger.
Percentage points describe the subtraction of one percentage from another. Percentage change describes the difference relative to a baseline. When reading a headline, first identify whether the underlying measure is a count, a rate or an index. Do not apply percentage-point wording to a change from twenty people to twenty-five people; those are counts, not percentages.
Worked example: attendance at two fictional events
Suppose a venue has 200 seats. In one hypothetical event, 40 are occupied: 20% of capacity. At the next, 50 are occupied: 25%. The occupancy rate is up five percentage points, while both the number attending and the rate are up 25% relative to their previous values. This is an arithmetic illustration, not a report about a real venue.
Now change the second event's capacity to 250 seats while keeping attendance at 50. Attendance still rises from 40 to 50, but occupancy remains 20%. The count increased while the rate did not. This is why you need the denominator—the total possible seats—not just the headline number before describing an apparent improvement.
Write down the baseline before calculating
For a relative change, calculate (new value minus old value) divided by old value, then multiply by 100. For a percentage-point change, subtract the old percentage from the new percentage and label the result ‘percentage points’. In the first example, (25 minus 20) divided by 20 times 100 equals 25%; 25 minus 20 equals five percentage points.
If the starting value is zero, that relative-change formula divides by zero and does not give a finite growth percentage. Say the measure rose from zero to the new value instead of claiming an infinite or invented percentage improvement. With negative starting values or unusual measures, consult the data producer's explanation before using a simple growth formula.
Check whether the comparison is like for like
Even correct arithmetic can describe an unfair comparison. Check the dates, population, geographic area, units and method. A seven-day total and a monthly total do not measure equivalent exposure periods. A rate for visitors cannot automatically be compared with a rate for all residents. Look for revisions or a changed definition in the original data notes.
Eurostat's job-vacancy metadata provides a real example of a rate whose changes are expressed in percentage points. That source illustrates the terminology; it does not supply the fictional attendance figures above. For any current news claim, find the relevant producer's table and metadata rather than substituting a general explainer for the actual dataset.
A headline-checking note you can reuse
Write: ‘The measure was [old value] in [period] and [new value] in [period]. The absolute difference is [difference and unit]. The relative change is [calculation], where appropriate. The population and method are [same, different or unknown].’ If the article omits the original values, follow its source links before deciding whether the headline's wording is supported.
Also distinguish a numerical difference from an explanation of its cause. A rate rising after a new policy or website launch does not, by timing alone, establish that the intervention caused the change. Keep arithmetic, comparability and causal evidence as three separate checks when comparing coverage or sharing a statistic.
Our editorial approach
This guide is written by the NewsBeagle Editorial Desk to help readers compare attributed coverage and find original reporting. See our editorial policy and publisher directory.