How to explain changing percentages in English (C1+ advanced plus): percentage points, per cent change and a growing total

To explain percentages in English, separate three numbers: a category’s share, the change in that share in percentage points, and the real headcount, which depends on the total. A share can fall while the count rises: with 38% more learners overall, an area that slips from 24% to 18% ends up slightly larger. Say “fell by six percentage points”, not “by six per cent”, and give the total as a caveat. This C1+ (advanced plus) guide suits adults who present reports or survey results in English.

Who this is for

Advanced adults who present reports, dashboards or survey results in English and need every figure to survive questions.
Analysts, managers, researchers and teachers who describe charts and tables in meetings or in writing.
Fluent speakers who still say “six per cent” when they mean six percentage points, or mix up fifteen and fifty on calls.
Too early: if building a clear argument from evidence still feels hard at C1, start with the balanced C1 essay on smartphone-first public services.
Too easy: if you already keep points, per cent and headcount apart without thinking, move on to a balanced opinion on working alone and daily contact, or to telling a food memory without treating it as proof.

Open the sample pages

Word cards

Work and society · impressive figures

When an organisation publishes an impressive figure, such as ninety-seven per cent satisfaction, what should we ask before we believe it?

Useful: ‘Ninety-seven per cent of what, exactly?’ · ‘The first thing I’d want to know is…’ · ‘That sounds impressive until…’

Conversation

narrator The Northbank Adult Learning Network compared enrolment in six technical certificate areas over five years, from 2018 to 2023.

maya Renewable-energy systems rose from fourteen per cent to fifteen per cent, while software testing increased from eighteen to twenty-one per cent.

owen Applied mathematics also grew, from eleven per cent to twelve per cent. Laboratory science moved from twenty-one to twenty-two per cent.

maya Engineering design was the only category to decline, falling from twenty-four per cent to eighteen per cent.

owen Data ethics remained unchanged at twelve per cent. By 2023, laboratory science had the largest share, followed by software testing and engineering design.

narrator Overall enrolment across the six areas increased by thirty-eight per cent, so the category shares should not be mistaken for raw student totals.

Language pattern

Proportional forms

fraction — part of a whole: 4/5 is “four fifths”; four is the numerator and five the denominator.
decimal — base-ten notation: 4.5 is “four point five”; 0.06 is “nought point nought six.”
ratio — comparison between quantities: 4:5 is “four to five.” A ratio does not itself state a percentage.
percentage — a proportion out of one hundred: 37% is “thirty-seven per cent.” Distinguish a rise to 37% from a rise of 37 percentage points.

More practice

Teen versus ty

maya The replacement costs thirTEEN pounds, not THIRty.

owen Did you say sixTEEN metres of cable?

maya No, SIXty metres. The first figure was one-six; the corrected figure is six-zero.

owen And the failure rate?

maya FIFteen per cent, not FIFty. Please repeat the full figure back.

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Share, points, per cent and headcount

A share and a headcount are different numbers. An example report gives six areas’ shares in 2018 and 2023: renewable-energy systems 14% → 15%, software testing 18% → 21%, applied mathematics 11% → 12%, laboratory science 21% → 22%, engineering design 24% → 18%, data ethics 12% → 12%. Total enrolment grew by 38%. Take engineering design:

Share: “Engineering design accounted for 24% of enrolments in 2018.”
Percentage points, the simple difference: “Engineering design fell by six percentage points.”
Per cent change, relative to the start: 6 ÷ 24, so “Its share fell by a quarter.”
Headcount, share × total: of, say, 1,000 learners in 2018, 240 were here; 18% of the new total, 1,380, is about 248.
An unchanged share hides growth too: “Data ethics remained unchanged at 12%.” That is about 166 learners, not 120.

Verbs and prepositions for change

Each small word carries a different number:

From … to, both ends: “Software testing increased from 18% to 21%.”
By, the size of the change: “Software testing rose by three percentage points.”
To alone, the new value only: “Software testing rose to 21%.”

Build the briefing: overview, exception, caveat

Lead with the pattern, not the first row. Group similar changes, name the exception and give the total as a caveat. The recording closes the same way.

Overview: “Overall, five of the six areas held or gained share, while engineering design lost ground.”
Grouped comparison: “Three areas each rose by one point, whereas software testing gained three.”
Exception: “Engineering design was the only area to lose share.”
Caveat: “Because total enrolment grew by 38%, that smaller share still means slightly more learners.”
Hedged inference: “This may indicate stronger demand for testing.”
Recommendation: “We recommend one more testing group and steady engineering staffing.”

Maya Engineering design was the only category to decline, falling from twenty-four per cent to eighteen per cent.

Owen Data ethics remained unchanged at twelve per cent. By 2023, laboratory science had the largest share, followed by software testing and engineering design.

Narrator Overall enrolment across the six areas increased by thirty-eight per cent, so the category shares should not be mistaken for raw student totals.

Grammar that keeps figures accurate

With percentages and fractions, the verb agrees with the noun after of:

Plural noun: “Three quarters of the drawers were still damp.”
Uncountable noun: “Twenty-one per cent of the budget was spent on equipment.”
One total amount is singular: “Sixty pounds is the maximum charge.”
“A number of learners have changed courses”, but “The number of learners has risen.”
“The data were accurate” suits academic writing; “The data is accurate” is widely accepted. Be consistent.

Say figures so listeners can check them

Chunk numbers, stress the change and ask for a read-back:

Teen or ty: “That’s fifTEEN per cent, not FIFty.” “So that’s one-five, fifteen?”
Decimals: 4.5 is “four point five”; 0.06 is “nought point nought six” in British English, or “zero point zero six”.
Fractions and ratios: 4/5 is “four fifths”; 4:5 is “four to five”, a ratio, not a percentage.
Long numbers: 1,406,072 is “one million, four hundred and six thousand and seventy-two”.

Learn this unit your way

Question an impressive figure

Test impressive numbers before repeating them. Start with these, then discuss the questions aloud:

“Ninety-seven per cent of what, exactly?”
“The first thing I’d want to know is…” Ask for the total, the period and the raw count.
“That sounds impressive until you count the other 3%.”
“When an organisation publishes an impressive figure, what do you check first?”
“Is it fair to judge people’s work mainly by what a system can measure?”

Common mistakes

Check your briefing for these:

“Engineering design fell by 6%.” The share moved six percentage points.
“Fewer learners chose engineering design.” Check the total first.
“increased of three points”: the size of a change takes by.
“a six-points fall”: say “a six-point fall”.
“The percentage of learners in testing were higher.” The head is percentage: use was.

A 15-minute daily practice routine

Use one chart from your work or the news.

3 minutes: play the report and repeat every figure.
4 minutes: say your chart’s overview in one sentence.
4 minutes: give two changes in points and in per cent; estimate one headcount.
4 minutes: record a 60-second briefing: overview, exception, caveat, recommendation.

What comes next

Next, bring the same precision to claims about people by correcting a cultural generalisation, or try a cause-and-effect article.

Frequently asked questions

What is the difference between per cent and percentage points?

Percentage points are the simple difference between two percentages: 24% to 18% is a six-point fall, but a 25% fall relative to the start.

Can a share fall while the number of people rises?

Yes, if the total grows faster than the category: with 38% more learners overall, a share falling from 24% to 18% still means slightly more learners.

How do you describe a chart in English?

Give an overview, compare grouped figures with from, to and by, name the exception and add a caveat.