---
title: "Part-introducing 'percent' in English — paper by Coppock (2022)"
description: "Coppock argues the second pattern is much wider than transitive reversed sentences. 30 references."
authors: ["Elizabeth Coppock"]
year: 2022
venue: "Glossa: a journal of general linguistics"
source: "https://www.glossa-journal.org/article/id/5791/"
doi: "10.16995/glossa.5791"
licence: "CC BY 4.0"
licence_url: "https://creativecommons.org/licenses/by/4.0/"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/coppock-2022-part-introducing-percent-english/"
---
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# Part-introducing 'percent' in English

**Authors:** [Elizabeth Coppock](https://md.research.elamur.ai/free/en/authors/elizabeth-coppock/) · **Year:** 2022 · **Venue:** [Glossa: a journal of general linguistics](https://md.research.elamur.ai/free/en/venues/glossa-a-journal-of-general-linguistics/) ([Glossa a journal of general linguistics 2022](https://md.research.elamur.ai/free/en/venues/glossa-a-journal-of-general-linguistics/2022/)) · **Publisher:** [Ubiquity Press](https://md.research.elamur.ai/free/en/publishers/ubiquity-press/) · **Licence:** [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/)

**Links:** [Publisher's page](https://doi.org/10.16995/glossa.5791) · [PDF](https://www.glossa-journal.org/article/5791/galley/21860/download) · [DOI 10.16995/glossa.5791](https://doi.org/10.16995/glossa.5791) · [OpenAlex](https://openalex.org/W4210526517)

**Citations:** 0 citations (OpenAlex, 2026-10-14)

## Summary
English *percent* can be followed by a phrase naming the whole ("50% of the women") or by one describing a portion of that whole ("50% women", usually called the reversed reading). Coppock argues the second pattern is much wider than transitive reversed sentences. It also appears after copula-like verbs such as *be*, *become* and *remain* ("The solution is 30% acid"), and inside noun phrases ("50% recycled paper"). She groups all of these as *part-introducing* uses and documents them with attested sentences from COCA and BNCWeb. She separates them from *scalar* uses like "70 percent full" with an entailment test: only part-introducing sentences say something about subparts of the subject.

She then makes two proposals. A type-shift called *part* turns a yes/no predicate into a degree predicate that measures mereological coverage, so a slightly revised version of Pasternak's (2019) analysis of "75% full" covers every case. For cumulative-like sentences ("mix 10% manure with 90% coal"), she sketches an account in Keshet's (2019) PLural Update Semantics. This clarifies how proportion expressions are actually interpreted.

## Key points
- The paper distinguishes conservative uses (the phrase after *percent* names the whole) from part-introducing uses (it names the part). Part-introducing uses span reversed, predicative and attributive constructions.
- Scalar predicatives ("40 percent sure", "100 percent faithful") imply nothing about parts of the subject. Part-introducing ones ("90 percent black" audience) can be restated with a partitive over the subject's members. Some examples, such as "100 percent American", allow both readings.
- Reversed readings occur only with a small set of verbs (e.g. *consist of*, *hire*, *use*). The author treats *consist of* as close to a copula. Why the set is so limited remains an open question.
- In the PLUS sketch, the operator `+x` gathers all values of x across assignments. Percent then applies to that sum, e.g. `[x]; hired(z,x); 75%(part(women))(+x)`.
- A reviewer's two-barrel scenario shows the predicted truth conditions may be too weak. A corpus study is provided as a supplementary file.

## Interesting ideas
- Separate readings with an entailment check: rewrite "X is N% P" as "N% of the parts of X are P" and see whether the rewrite still follows.
- A single lifting operator turns any yes/no property into a degree of coverage, so one percent rule serves both "full" and "Hispanic".
- Measure the proportion only after all other clause conditions have filtered the referent. The whole is then everything that satisfies the clause (all tobacco used), not a single object.
- Reversed readings depend on the verb, which suggests a lexical whitelist rather than a general rule.
- The reviewer's barrel scenario is a minimal case where the formal analysis says true but speakers balk.

## For Mova

How these ideas could serve Mova, our small open language model — its files, stages and tests:

- **I1** (frames): A predicative-percent frame could run this rewrite test to choose a part-distribution frame or a scalar degree frame, and log the choice as its explanation.
- **I2** (world): The measures layer could store "30% acid" as a coverage fraction over the entity's parts, while natively gradable adjectives keep their own closed scales.
- **I3** (world): When building holdings and events, compute a percent's base set only after the clause's constraints are applied, so "used 75% domestic tobacco" refers to all tobacco used.
- **I4** (tree): The parser or UD conversion could allow a "N% NOUN" object to be read as a part description only under verbs such as *consist of*, *hire* or *use*, and flag other cases.
- **I5** (learn): Add such scenarios to evaluation as negative controls, so cumulative percent handling is tested on cases where literal truth and natural description come apart.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

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## Cite

Cite as: Elizabeth Coppock. 2022. Part-introducing 'percent' in English. Glossa: a journal of general linguistics.

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@article{coppock2022part,
  title = {{Part-introducing 'percent' in English}},
  author = {Elizabeth Coppock},
  journal = {Glossa: a journal of general linguistics},
  year = {2022},
  doi = {10.16995/glossa.5791},
  url = {https://doi.org/10.16995/glossa.5791}
}
```

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## References

30 references, 0 of them with a card of ours. ↗ leads to the work, «find» searches for one we have no id for yet.

1. Ahn, Dorothy. 2012. Reverse quantification in Korean. Term paper, Harvard University. [find](https://scholar.google.com/scholar?q=Ahn%2C+Dorothy%2E+2012%2E+Reverse+quantification+in+Korean%2E+Term+paper%2C+Harvard+University%2E)
2. Ahn, Dorothy & Sauerland, Uli. 2015. The grammar of relative measurement. In Semantics and Linguistic Theory (SALT) 25, 125–142. DOI: https://doi.org/10.3765/salt.v25i0.3062 [↗](https://doi.org/10.3765/salt.v25i0.3062)
3. Ahn, Dorothy & Sauerland, Uli. 2017. Measure constructions with relative measures: Towards a syntax of non-conservative construals. The Linguistic Review. DOI: https://doi.org/10.1515/ tlr-2017-0001 [↗](https://doi.org/10.1515/tlr-2017-0001)
4. Beaver, David & Krahmer, Emiel. 2001. A partial account of presupposition projection. Journal of Logic, Language and Information 10. 147–182. DOI: https://doi.org/10.1023/A:1008371413822 [↗](https://doi.org/10.1023/a:1008371413822)
5. Champollion, Lucas. 2009. Cumulative readings of every do not provide evidence for events and thematic roles. In Proceedings of the nineteenth Amsterdam Colloquium. DOI: https://doi.org/10.1007/978-3-642-14287-1_22 [↗](https://doi.org/10.1007/978-3-642-14287-1_22)
6. Coppock, Elizabeth. 2021. Challenge problems for a theory of degree multiplication. Proceedings of Semantics and Linguistic Theory (SALT) 31. DOI: https://doi.org/10.3765/salt.v31i0.5071 [↗](https://doi.org/10.3765/salt.v31i0.5071)
7. Coppock, Elizabeth & Beaver, David. 2015. Definiteness and determinacy. Linguistics and Philosophy 38(5). 377–435. DOI: https://doi.org/10.1007/s10988-015-9178-8 [↗](https://doi.org/10.1007/s10988-015-9178-8)
8. Erteschik-Shir, Nomi. 2007. Information structure. Oxford University Press. [find](https://scholar.google.com/scholar?q=Erteschik%2DShir%2C+Nomi%2E+2007%2E+Information+structure%2E+Oxford+University+Press%2E)
9. Foley, William A. 2007. A typology of information packaging in the clause. In Shopen, T. (ed.), Language typology and syntactic description 1. 362–446. Cambridge: Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511619427.007 [↗](https://doi.org/10.1017/cbo9780511619427.007)
10. Groenendijk, Jeroen & Stokhof, Martin. 1991. Dynamic predicate logic. Linguistics and Philosophy 14. 39–100. DOI: https://doi.org/10.1007/BF00628304 [↗](https://doi.org/10.1007/bf00628304)
11. JCGM. 2012. International vocabulary of metrology - basic and general concepts and associated terms (VIM), 3rd edition. Joint Committee for Guides in Metrology (JCGM). [find](https://scholar.google.com/scholar?q=JCGM%2E+2012%2E+International+vocabulary+of+metrology+%2D+basic+and+general+concepts+and+associated+terms+%28VIM%29%2C+3rd+edition%2E+Joint+Committee+for+Guides+in+Metrology+%28JCGM%29%2E)
12. Kennedy, Christopher & McNally, Louise. 2005. Scale structure, degree modification, and the semantics of gradable predicates. Language 81(2). 345–381. DOI: https://doi.org/10.1353/ lan.2005.0071 [↗](https://doi.org/10.1353/lan.2005.0071)
13. Keshet, Ezra. 2019. Discourse plurals in an update semantics. In Espinal, M. Teresa & Castroviejo, Elena & Leonetti, Manuel & McNally, Louise & Real-Puigdollers, Cristina (eds.), Proceedings of Sinn und Bedeutung 23. 557–571. [↗](https://doi.org/10.18148/sub/2019.v23i1.550)
14. Krifka, Manfred. 1986. Nominalreferenz und Zeitkonstitution. Zur Semantik von Massentermen, Pluraltermen und Aspektklassen. Munich, Germany (published 1989): Fink. [find](https://scholar.google.com/scholar?q=Krifka%2C+Manfred%2E+1986%2E+Nominalreferenz+und+Zeitkonstitution%2E+Zur+Semantik+von+Massentermen%2C+Pluraltermen+und+Aspektklassen%2E+Munich%2C+Germany+%28published+1989%29%3A+Fink%2E)
15. Lambrecht, Knud. 1994. Information structure and sentence form: Topic, focus, and the mental representation of discourse referents. Cambridge: Cambridge University Press. DOI: https://doi.org/10.1017/CBO9780511620607 [↗](https://doi.org/10.1017/cbo9780511620607)
16. Li, Haoze. 2018. Event-related relative measurement. In Truswell, Robert & Cummins, Chris & Heycock, Caroline & Rabern, Brian & Rohde, Hannah (eds.), Sinn und Bedeutung 21. 801–818. University of Konstanz. [find](https://scholar.google.com/scholar?q=Li%2C+Haoze%2E+2018%2E+Event%2Drelated+relative+measurement%2E+In+Truswell%2C+Robert+%26+Cummins%2C+Chris+%26+Heycock%2C+Caroline+%26+Rabern%2C+Brian+%26+Rohde%2C+Hannah+%28eds%2E%29%2C+Sinn+und+Bedeutung+21%2E+801%E2%80%93818%2E+University+of+Kons)
17. Partee, Barbara H. 1987. Noun phrase interpretation and type-shifting principles. In Groenendijk, Jeroen & de Jongh, Dick & Stokhof, Martin (eds.), Studies in Discourse Representation Theory and the theory of generalized quantifiers, 115–143. Dordrecht: Foris. DOI: https://doi.org/10.1515/9783112420027-006 [↗](https://doi.org/10.1515/9783112420027-006)
18. Pasternak, Robert. 2019. Unifying partitive and adjective-modifying percent. Snippets 37. 77–79. DOI: https://doi.org/10.7358/snip-2019-037-past [↗](https://doi.org/10.7358/snip-2019-037-past)
19. Pasternak, Robert & Sauerland, Uli. 2022. German measurement structures: Casemarking and non-conservativity. Accepted for publication in the Journal of Comparative Germanic Linguistics. [find](https://scholar.google.com/scholar?q=Pasternak%2C+Robert+%26+Sauerland%2C+Uli%2E+2022%2E+German+measurement+structures%3A+Casemarking+and+non%2Dconservativity%2E+Accepted+for+publication+in+the+Journal+of+Comparative+Germanic+Linguistics%2E)
20. Raposo, Álvaro P. 2018. The algebraic structure of quantity calculus. Measurement Science Review 18(4). 147–157. DOI: https://doi.org/10.1515/msr-2017-0021 [↗](https://doi.org/10.1515/msr-2017-0021)
21. Raposo, Álvaro P. 2019. The algebraic structure of quantity calculus II: Dimensional analysis and differential and integral calculus. Measurement Science Review 19(2). 70–78. DOI: https://doi.org/10.2478/msr-2019-0012 [↗](https://doi.org/10.2478/msr-2019-0012)
22. Rett, Jessica. 2018. The semantics of many, much, few, and little. Language and Linguistics Compass 12. DOI: https://doi.org/10.1111/lnc3.12269 [↗](https://doi.org/10.1111/lnc3.12269)
23. Sauerland, Uli. 2014. Surface non-conservativity in German. In Piñon, Christopher (ed.), Empirical Issues in Syntax and Semantics 10, 125–142. [http://www.cssp.cnrs.fr/eiss10/](http://www.cssp.cnrs.fr/eiss10/). [↗](http://www.cssp.cnrs.fr/eiss10/)
24. Scha, Remko. 1981. Distributive, collective and cumulative quantification. In Groenendijk, Jeroen & Janssen, Theo & Stokhof, Martin (eds.), Formal methods in the study of language, part 2, 483–513. Amsterdam: Mathematical Centre. [find](https://scholar.google.com/scholar?q=Scha%2C+Remko%2E+1981%2E+Distributive%2C+collective+and+cumulative+quantification%2E+In+Groenendijk%2C+Jeroen+%26+Janssen%2C+Theo+%26+Stokhof%2C+Martin+%28eds%2E%29%2C+Formal+methods+in+the+study+of+language%2C+part+2%2C+483%E2%80%93513%2E+Am)
25. Schwarzschild, Roger. 2006. The role of dimensions in the syntax of noun phrases. Syntax 9(1). 67–110. DOI: https://doi.org/10.1111/j.1467-9612.2006.00083.x [↗](https://doi.org/10.1111/j.1467-9612.2006.00083.x)
26. Solt, Stephanie. 2009. The semantics of adjectives of quantity. New York, NY: The City University of New York PhD dissertation. [find](https://scholar.google.com/scholar?q=Solt%2C+Stephanie%2E+2009%2E+The+semantics+of+adjectives+of+quantity%2E+New+York%2C+NY%3A+The+City+University+of+New+York+PhD+dissertation%2E)
27. Solt, Stephanie. 2018. Proportional comparatives and relative scales. In Truswell, Robert & Cummins, Chris & Heycock, Caroline & Rabern, Brian & Rohde, Hannah (eds.), Sinn und Bedeutung 21. 1123–1140. [find](https://scholar.google.com/scholar?q=Solt%2C+Stephanie%2E+2018%2E+Proportional+comparatives+and+relative+scales%2E+In+Truswell%2C+Robert+%26+Cummins%2C+Chris+%26+Heycock%2C+Caroline+%26+Rabern%2C+Brian+%26+Rohde%2C+Hannah+%28eds%2E%29%2C+Sinn+und+Bedeutung+21%2E+1123%E2%80%931140%2E)
28. Spathas, Giorgios. 2019. Plural anaphoric reference and non-conservativity. Snippets 37. 95–96. DOI: https://doi.org/10.7358/snip-2019-037-spat [↗](https://doi.org/10.7358/snip-2019-037-spat)
29. Szabolcsi, Anna. 1997. Ways of scope taking. Dordrecht: Kluwer. DOI: https://doi.org/10.1007/978-94-011-5814-5 [↗](https://doi.org/10.1007/978-94-011-5814-5)
30. Wellwood, Alexis. 2015. On the semantics of comparison across categories. Linguistics and Philosophy 38(1). 67–101. DOI: https://doi.org/10.1007/s10988-015-9165-0 [↗](https://doi.org/10.1007/s10988-015-9165-0)

*Updated 1 November 2026*
