The basic idea: three honest ways to say how much or how many
You can describe quantity in words (a sizeable number; most), specify a figure, or set a lower or upper limit (at least / up to). A sizeable number assesses an absolute quantity, whereas most describes a share of a particular group. These are different descriptions, so first establish what is known.
A figure helps readers check a qualitative assessment, but a number is not compulsory after every quantifier. A limit has a clear direction, and using it appropriately requires evidence. Do not add at least merely to sound academic: it turns an exact figure into a lower limit.
A sizeable number of the interviewees asked to remain anonymous.
A sizeable number of the interviewees asked to remain anonymous.
The wording assesses the scale without giving a figure.
Most pilot schools (nine out of fourteen) kept the revised timetable.
Most pilot schools (nine out of fourteen) kept the revised timetable.
The qualitative description is supported by a verifiable figure.
Delays affected up to six ferry routes last winter.
Delays affected up to six ferry routes last winter.
Up to sets an upper limit: there were six affected routes or fewer.
At least four of the sensors had been miscalibrated.
At least four of the sensors had been miscalibrated.
At least sets a lower limit: there were four affected sensors or more.
A scale of qualified quantifiers
A minority means less than half; a majority and most mean more than half; the vast majority means a very large majority. Small, sizeable, substantial, and overwhelming refine the assessment, but do not form a universal scale with exact percentages. For the same whole, most / a majority mean more than half.
A significant proportion assesses a share, whereas a substantial number assesses a quantity. A large number may be a small share of a very large group. Significant can mean important or have a technical statistical meaning; explain which you intend. The word alone does not replace data or guarantee a large share.
A small minority of the donors gave repeatedly.
A small minority of the donors gave repeatedly.
The low end of the scale: the share is far below half.
A sizeable minority of commuters still drive alone.
A sizeable minority of commuters still drive alone.
Sizeable describes the share as substantial enough to notice; minority means less than half of this group.
A majority of committee members backed the amendment.
A majority of committee members backed the amendment.
More than half, without specifying how much more.
The vast majority of the archive has been digitised.
The vast majority of the archive has been digitised.
The high end of the scale: the share is well above half.
A significant proportion of the grants went to first-time applicants.
A significant proportion of the grants went to first-time applicants.
This highlights the share without specifying whether it is a majority or a minority.
Qualitative wording + a figure: making an assessment verifiable
A qualitative quantity expression is strongest when accompanied by a figure: in brackets, as n out of N, or as a percentage. Readers see both your judgment and the data behind it. If the wording contradicts the figure, the figure takes precedence and the wording is inaccurate.
For the same whole, 38% is neither most nor a majority. Vast majority for 54%, or small minority for 40%, would normally exaggerate the assessment, although these adjectives have no exact universal thresholds. In n out of N, lowercase n is the stated quantity and uppercase N is the total.
qualifying expression + of + noun + (figure) → assessment in words + verification by number
- noun —
- A word naming a person, thing or idea: student, book, happiness.
A clear majority of the wards (17 of 26) reported shortages.
A clear majority of the wards (17 of 26) reported shortages.
The qualitative wording and the figure support each other.
The vast majority of calls (96%) were answered within a minute.
The vast majority of calls (96%) were answered within a minute.
The very high percentage justifies the strongest description.
Only a small minority of tenders (3 out of 40) came from abroad.
Only a small minority of tenders (3 out of 40) came from abroad.
The modest description matches the small share, making the claim verifiable.
A lower limit: at least, a minimum of, no fewer than
At least gives a lower limit, a minimum of names a minimum, and at the very least emphasizes that minimum. No fewer than is used with countable nouns and often means as many as, emphasizing a large quantity. In that use, it can refer to a known exact figure rather than an unknown quantity with no stated upper limit.
A lower limit is appropriate when you know the minimum but not the total: for example, confirmed cases or partially checked data. It does not allow you to claim that the figure is exact or cannot be higher.
at least / a minimum of / no fewer than + number + noun
- noun —
- A word naming a person, thing or idea: student, book, happiness.
The fund has received no fewer than sixty applications.
The fund has received no fewer than sixty applications.
No fewer than emphasizes that there are at least sixty applications, or, in the context of an exact count, as many as sixty.
At the very least, a quarter of the stock will need replacing.
At the very least, a quarter of the stock will need replacing.
An emphatic expression of a lower limit.
Certification requires a minimum of eight sessions.
Certification requires a minimum of eight sessions.
A minimum of states the minimum requirement.
An upper limit: up to, no more than, at most, a maximum of
An upper limit says that the quantity is no greater than the stated figure; in up to 30, 30 itself is included as the highest possible value. The actual value may be lower, even very low. Up to often combines with may or can because it describes a potential maximum.
Use an upper limit for capacity, an allowed quantity, or an estimated maximum. Up to a maximum of six is correct, though longer; no more than maximum six is incorrectly formed. Replacing up to with at least changes the intended meaning: the limits point in opposite directions.
up to / no more than / at most / a maximum of + number + noun
- noun —
- A word naming a person, thing or idea: student, book, happiness.
Each applicant may claim up to two grants.
Each applicant may claim up to two grants.
Up to sets an upper limit on the potential entitlement.
No more than five delegates per country will be admitted.
No more than five delegates per country will be admitted.
No more than sets a firm upper limit.
At most a handful of the responses were incomplete.
At most a handful of the responses were incomplete.
Here, at most combines with an approximate quantity expression rather than a number.
The scheme will cover a maximum of 40 per cent of the fees.
The scheme will cover a maximum of 40 per cent of the fees.
A maximum of emphasizes that this is the highest possible value.
What you can and cannot conclude
Each construction supports some conclusions but not others. At least 30% means 30% or more; it does not mean exactly 30% or rule out a higher share. Up to 30% means 30% or less; it does not mean exactly 30% or rule out a lower share. Wording without a figure supports only a qualitative assessment.
You can clarify a lower limit with at least a third, and possibly considerably more. An upper limit also needs evidence: an unfinished inspection does not by itself prove that no more than a tenth will be defective. Even without an exact figure, a qualitative assessment must be based on the available data.
At least a third of the interviewees, and possibly considerably more, had changed jobs.
At least a third of the interviewees, and possibly considerably more, had changed jobs.
A lower limit plus a qualification leaving the upper end open.
Up to a tenth of the units could be defective; the inspection is still under way.
Up to a tenth of the units could be defective; the inspection is still under way.
The upper limit is a provisional estimate; its basis must be established separately from the fact that the inspection is ongoing.
We could not establish how many households were affected, but it was a significant proportion.
We could not establish how many households were affected, but it was a significant proportion.
The exact quantity is unknown, but the claim of a significant proportion still requires evidence.
Grammar and agreement
A number of + plural noun means several or quite a few and takes a plural verb: A number of exhibits were damaged. The number of + plural noun refers to the figure itself and takes a singular verb: The number of exhibits has doubled. Similarly, a significant proportion of + plural noun usually takes a plural verb, while an uncountable noun usually takes a singular verb.
For a definite group, use most of the volunteers, most of our volunteers, or most of them; with a bare noun, use most volunteers. Many cannot go directly before 25%, but many volunteers (25% of the sample) is possible. At least does not need than. Up to a maximum of is correct; the shorter up to is sufficient.
A number of the exhibits were damaged in transit.
A number of the exhibits were damaged in transit.
A number of + plural noun → plural verb.
The number of exhibits on display has doubled.
The number of exhibits on display has doubled.
The subject is number → singular verb.
Most of the volunteers arrived early; most volunteers had worked on the project before.
Most of the volunteers arrived early; most volunteers had worked on the project before.
Most of the with a definite noun phrase; most without of with a bare noun.
Up to a fifth of the cargo was damaged, and up to a fifth of the passengers were delayed.
Up to a fifth of the cargo was damaged, and up to a fifth of the passengers were delayed.
The verb agrees with the noun after of: cargo → was, passengers → were.
Putting it into practice: editing a vague claim
When editing a quantitative claim, ask how much detail the argument needs. Many is a normal academic word, but add a figure when the specific quantity matters. If only a lower or upper limit is known, state it. Do not invent a limit or figure to make the sentence sound more formal.
The range 20–30% usually conveys an interval clearly. If including the endpoints or the status of the interval matters—for example, whether it is an allowed range, observed range, or statistical estimate—explain that. At least 20%, but no more than 30% explicitly includes both endpoints.
A sizeable minority of customers (214 of 900) said they were unhappy.
A sizeable minority of customers (214 of 900) said they were unhappy.
This turns the unbounded claim Many customers were unhappy into a verifiable statement.
At least 20%, but no more than 30%, of the staff will be affected.
At least 20%, but no more than 30%, of the staff will be affected.
The expanded form explicitly states both inclusive limits; the ordinary notation 20–30% may also be sufficient.
Common mistakes
Incorrect:Many 18% of the drivers ignored the notice.
Correct:18% of the drivers ignored the notice.
Many cannot go directly before 18%. Remove it while preserving the stated figure; adding at least would introduce a different meaning, a lower limit.
Incorrect:Many lots of residents objected to the plan.
Correct:A substantial number of residents objected to the plan.
Many lots of is an unacceptable combination; in writing, use a substantial number or another correctly formed quantifier.
Incorrect:A number of the delegates was absent.
Correct:A number of the delegates were absent.
A number of means several and requires a plural verb.
Incorrect:The number of complaints were unusually high.
Correct:The number of complaints was unusually high.
The subject is number, so the verb is singular.
Incorrect:Most of participants signed the form.
Correct:Most of the participants signed the form.
In this noun phrase, most of requires a determiner: the participants or our participants. Without of, most participants is possible.
Incorrect:At least than 25 guests are expected.
Correct:At least 25 guests are expected.
At least does not combine with than; that mixes it with a comparative construction.
Incorrect:Up to maximum 15 seats will be reserved.
Correct:Up to 15 seats will be reserved.
The expanded pattern requires up to a maximum of 15. The shorter version is up to 15.