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Gunning Fog Guide — FOG Formula, Complex Words & Grade Level

Gunning Fog Index (FOG) estimates U.S. school grade level from average sentence length (ASL) and the percentage of complex words (PHW) — words with three or more syllables. Below: the 0.4 formula, counting rules, grade bands, and when Fog fits better than syllable-average formulas.

What Is the Gunning Fog Index?

Gunning Fog Index is a readability formula that maps English prose to a U.S. grade level. A Fog score of 12 means a typical high school graduate can read the passage on the first try.

Why it matters: Robert Gunning built FOG for business and newspaper writing — places where “foggy” jargon blocked comprehension even when readers had finished school.

Example: A press release at Fog 14 reads like college-level copy; the same story rewritten at Fog 8 uses shorter sentences and fewer three-syllable words.

Common mistake: Treating Fog as a quality grade. It measures surface complexity, not whether the ideas are worth the harder words.

Robert Gunning and the “fog” metaphor

Robert Gunning founded a readability consultancy in 1944 and published the Fog Index in 1952 in The Technique of Clear Writing. He used “fog” for prose that hides meaning behind unnecessary complexity.

Why it matters: FOG was designed for manual counting — two inputs writers could audit without computers.

Edge case: Fog targets English. Scores on other languages are not comparable to U.S. grade bands.

Reference: Background and grade table: Wikipedia — Gunning fog index (external).

What Your Gunning Fog Score Means

A Fog result is a grade-level number, usually between 6 and 17 for published prose. Lower scores mean easier reading on the FOG scale.

Why it matters: Editors can set concrete targets — “keep customer emails below Fog 10” — instead of debating whether copy “feels simple.”

Example: Fog 8 aligns with conversational U.S. English; many magazines and public websites aim near that band.

Common mistake: Assuming higher Fog always means better writing. Specialist audiences may need Fog 14+ by design.

Score-to-grade bands

Fog scoreSchool levelTypical content
6Sixth gradeSimple marketing, children’s copy
7–8Seventh–eighth gradeGeneral web, plain-language government
9–11High schoolNewspapers, business memos
12High school graduateMajor news magazines, WSJ-style prose
13–16CollegeWhite papers, academic drafts
17+College graduateLegal, dense technical manuals

Edge case: Scores below 6 or above 20 appear on very short or extreme samples — treat them as directional, not precise.

How the Gunning Fog Formula Works

Fog = 0.4 × (ASL + PHW)

ASL = total words ÷ total sentences. PHW = (complex words ÷ total words) × 100. The 0.4 factor scales the sum onto U.S. grade years.

Why it matters: PHW is already a percentage, so vocabulary swings move the score quickly — replacing five three-syllable words in a 200-word passage can drop Fog by roughly one grade band.

Example: ASL = 18 and PHW = 12 → Fog = 0.4 × (18 + 12) = 12.

Common mistake: Forgetting to multiply complex-word share by 100 before adding to ASL.

ASL — average sentence length

ASL measures how many words appear per sentence on average. Longer sentences raise Fog through the first term in the formula.

Why it matters: Splitting one 40-word sentence into two 20-word sentences cuts ASL and lowers Fog without changing vocabulary.

Edge case: Semicolon and colon splits change ASL — see the sentence-boundary rule in the complex-words section.

The 0.4 scaling factor

The 0.4 multiplier maps the sum of ASL and PHW onto U.S. grade years. Without it, raw totals would sit far above readable grade bands.

Why it matters: The constant was calibrated against reading-comprehension research so that Fog 12 aligns with twelfth-grade comfort, not an arbitrary index number.

Example: ASL + PHW = 30 → Fog = 12. ASL + PHW = 20 → Fog = 8.

PHW — percentage of hard (complex) words

PHW is the share of words with three or more syllables, expressed as a percentage of total words.

Why it matters: Fog penalizes polysyllabic density more aggressively than formulas that average syllables across every word.

Example: One word like “incomprehensible” in a short paragraph can spike PHW even when most other words are monosyllabic.

100-word sample method

Classic FOG instructions use a passage of about 100 words without skipping sentences. For long documents, take several spaced 100-word samples and average the results.

Why it matters: A single dense paragraph in a long file can misrepresent the whole if you score only the introduction.

Common mistake: Scoring navigation menus and boilerplate with body copy — strip chrome before auditing.

Complex Words and Counting Rules

On the canonical Gunning Fog method, a complex word has three or more syllables. Published rules also exclude certain tokens that look long but are familiar.

Why it matters: Two calculators can disagree when one excludes proper nouns and suffix forms and another counts every 3+ syllable token.

Example: “Created” is often excluded when -ed adds a syllable to a shorter root; “beautiful” usually counts as complex despite being common speech.

Common mistake: Assuming every long word is equally hard — Fog counts syllables, not reader familiarity.

Canonical exclusions

  • Proper nouns (e.g. city and person names)
  • Familiar compound words (e.g. “bookkeeper”)
  • Words made three syllables only by -ed or -es (e.g. “created,” “trespasses”)
  • Hyphenated compounds — often excluded when both parts are familiar

Why it matters: Legal and medical drafts full of long names can score high on strict counters even when the prose is plain.

UTF-8, Unicode, and syllable edge cases

Unicode defines characters; UTF-8 is how files and browsers store them. Syllable counts run on decoded word tokens, not raw byte length.

Why it matters: Smart quotes, ligatures, or decomposed accents can split tokens and change syllable totals.

Example: Pasting from PDFs often introduces soft hyphens that break one word into two tokens — both may flip from non-complex to complex or vice versa.

Edge case: Numbers and acronyms syllabify differently across engines. Compare scores on the same tool when auditing drafts.

Semicolons, colons, and sentence boundaries

Manual FOG methods often treat a semicolon or colon between independent clauses as a sentence break, counting the passage as two sentences instead of one.

Why it matters: One 40-word sentence with a semicolon may become two 20-word sentences — ASL drops from 40 to 20 and Fog falls sharply.

Example: “We met the deadline; the client approved the draft.” may count as two sentences in manual scoring but one in some automated splitters.

Common mistake: Comparing manual FOG homework to a browser tool without matching sentence-split rules.

What Is a Good Gunning Fog Score?

For a general U.S. audience, many editors target Fog 7–8. Plain-language and patient-facing programs often aim below 7. Text aimed at near-universal understanding often stays below 12. Professional news and business copy commonly lands 9–12.

Why it matters: Gunning himself cited eighth grade (Fog ~8) as comfortable for average adult readers — a practical default when no policy states otherwise.

Example: A benefits FAQ at Fog 6.5 is easier than the same policy explained at Fog 13.

Common mistake: Forcing Fog 8 on expert journals where Fog 15+ is appropriate for the audience.

Targets by content type

Content typeTypical Fog target
Plain-language government / health≤ 7–8
Marketing / blog posts7–9
Business email and reports9–12
Major newspapers / magazines10–12
Academic abstracts12–16
Legal / technical manuals14–17+

When to Use Gunning Fog Readability

Choose FOG when sentence length plus polysyllabic vocabulary is the main readability risk — business writing, journalism, policy rewrites, and investor communications.

Why it matters: Gunning designed FOG to cut unnecessary complexity in prose meant for busy readers, not to score poetry or fiction style.

Example: A compliance team rewrites a memo from Fog 16 to Fog 11 before publishing to all staff.

Common mistake: Using Fog alone on healthcare leaflets where SMOG is the cited standard — run both when policy names a formula.

Strong use cases

  • Business and internal communications.
  • Press releases and executive briefs.
  • Plain-language audits of government web copy.
  • Research abstracts checked for journal readability policies.
  • Spot-checking jargon density vs Flesch–Kincaid on the same paste.
  • Short passages where SMOG’s 30-sentence minimum is not met.
  • Investor and SEC-style plain-English rewrites where Fog is a cited benchmark.

How to Improve Your Gunning Fog Score

To lower Fog (easier reading), replace three-syllable words first, then shorten sentences to reduce ASL.

Why it matters: PHW is multiplied by 100 inside the formula — vocabulary edits usually move Fog faster than light ASL trims.

Example: “Utilize” → “use,” “facilitate” → “help,” and “demonstrate” → “show” can drop PHW several points in one paragraph.

Common mistake: Chopping sentences while leaving Latinate jargon untouched — ASL helps, but PHW often dominates.

Practical editing tips

  • Keep most sentences under 20 words for general audiences.
  • Define a technical term once, then use a short form.
  • Score a plain-text paste without headers, ads, or legal boilerplate.
  • Read aloud — breathless sentences often mean high ASL.
  • Re-check after edits; crossing from PHW 21% to 19% still lowers Fog.

Gunning Fog vs Other Readability Formulas

Fog complements syllable-average and vocabulary-list formulas. Use it when polysyllabic percentage matters more than total syllables per word.

Why it matters: A passage with one very long word can Fog higher than it Flesch–Kincaids — Fog counts how many words are polysyllabic, not average syllables.

Example: Ten short words plus one “incomprehensible” spikes PHW; Flesch spreads syllables across the whole average.

Common mistake: Publishing only the lowest grade from whichever tool was opened last.

Quick comparison

FormulaMain inputsBest for
Gunning Fog (FOG)ASL + % words with 3+ syllablesBusiness writing, journalism, jargon checks
Flesch–KincaidSyllables per word + sentencesGeneral prose, office defaults
SMOGPolysyllabic words (30+ sentences)Healthcare, patient education
Dale–ChallFamiliar-word list + sentencesVocabulary familiarity, elementary+
Coleman–LiauLetters + sentencesFast automation without syllables
ARICharacters + words + sentencesTechnical text without syllable data

Limitations of Gunning Fog

Fog measures syllable length and sentence count. It does not know reader expertise, topic interest, or whether a long word is common (“beautiful,” “interesting”).

Why it matters: Pair Fog with audience testing on high-stakes documents — the index is a guide, not a veto on good style.

Example: Sports fans know “offside”; Fog still counts it as polysyllabic if the syllable engine tags three syllables.

Common mistake: Scoring code, JSON, or bullet lists of SKUs. Fog targets running prose.

Scorer and algorithm limitations

Canonical FOG excludes proper nouns, some compounds, and certain -ed/-es forms. Automated tools vary: some count every word with three or more syllables and do not apply those exclusions. Sentence splitters also differ on semicolons and abbreviations.

On this site: TextTools marks any token with three or more syllables as complex — it does not apply the published proper-noun or suffix exclusions. Scores may run slightly higher than manual FOG on name-heavy text.

Why it matters: Two Fog calculators can disagree by one or more grade bands on the same paste.

Historically, some manual methods counted clauses as sentences until the 1980s — modern automated tools use sentence boundaries instead. Compare like with like when citing scores.

Token and sentence edge cases

“Dr.” and “e.g.” affect sentence counts. Legal citations and numbered lists inflate ASL without adding readable sentences.

Example: A 150-word privacy policy with dense “whereas” clauses may show high ASL even after plain-language rewrites elsewhere.

Worked Example — ASL and PHW to Fog Score

Consider one sentence with 10 words, two of them complex (three or more syllables): “The server experienced a critical failure due to a hardware malfunction.”

Why it matters: A single-sentence sample shows how ASL and PHW combine before the 0.4 multiplier.

Step-by-step

ASL = 10 ÷ 1 = 10

Complex words = 2 (“experienced,” “malfunction”)

PHW = (2 ÷ 10) × 100 = 20

Fog = 0.4 × (10 + 20) = 12 → high school graduate band.

Common mistake: Using total syllables instead of the percentage of complex words — that is Flesch territory, not FOG.

Longer passage sketch

With 200 words, 10 sentences (ASL = 20), and 30 complex words (PHW = 15): Fog = 0.4 × (20 + 15) = 14 → college sophomore level.

Frequently Asked Questions

What is the Gunning Fog Index?

A readability formula that estimates U.S. school grade level from average sentence length and the percentage of words with three or more syllables.

Who created the Gunning Fog Index?

Robert Gunning published the Fog Index in 1952 after years of readability consulting with newspapers and businesses.

What does FOG stand for in readability?

FOG is Robert Gunning’s name for writing that obscures meaning — “foggy” prose — not a separate acronym expansion.

How is the Gunning Fog score calculated?

Fog = 0.4 × (ASL + PHW), where ASL is words per sentence and PHW is the percentage of complex (3+ syllable) words.

What does the 0.4 in the Gunning Fog formula mean?

It scales ASL plus PHW onto U.S. grade-year bands. Without 0.4, the raw sum would not match school-level interpretation tables.

What is ASL in Gunning Fog?

Average sentence length — total words divided by total sentences.

What is PHW in Gunning Fog?

Percentage of hard words — complex words divided by total words, multiplied by 100.

What counts as a complex word on Gunning Fog?

Typically any word with three or more syllables. Canonical rules exclude some proper nouns, compounds, and -ed/-es forms.

Are proper nouns excluded from complex words?

The published Gunning method excludes proper nouns. Many automated calculators count all 3+ syllable tokens unless they add entity detection.

Are -ed and -es suffix words excluded?

Canonical FOG excludes words made three syllables only by -ed or -es when the root is shorter. Automated tools may not apply that rule.

What is a good Gunning Fog score?

For general audiences, target 7–8. Many professional documents sit at 9–12. Plain-language programs often aim below 7.

What does a Fog score of 12 mean?

About high school graduate reading level on the U.S. scale — typical of major magazines and much business writing.

Is a lower Gunning Fog score better?

Yes for general readability. Lower Fog means shorter sentences and fewer polysyllabic words on average.

What is the ideal Fog score for business writing?

Many teams target 10–12 for internal reports and 7–9 for customer-facing copy, unless the audience expects specialist depth.

How do you calculate Gunning Fog manually?

Count words and sentences for ASL, count 3+ syllable words for PHW, add ASL + PHW, multiply by 0.4.

How many words do I need for an accurate Fog score?

Use at least 100 words. Longer samples stabilize PHW. Very short text swings when one rare word appears.

How do I lower my Gunning Fog score?

Replace 3+ syllable words with shorter synonyms first, then split long sentences to reduce ASL.

Gunning Fog vs Flesch–Kincaid — what is the difference?

Flesch–Kincaid uses average syllables per word. Gunning Fog uses the percentage of words with three or more syllables, so it penalizes jargon clusters more sharply.

Gunning Fog vs SMOG — when should I use which?

Use Fog for shorter business and media copy. Use SMOG when healthcare standards apply and you have enough sentences for a stable SMOG sample.

When should I use the Gunning Fog Index?

Use it for business writing, journalism, policy plain-language audits, and any time polysyllabic density plus sentence length is the main concern.

Why do two Gunning Fog calculators disagree?

Different syllable rules, sentence splitters, and whether proper-noun exclusions are applied cause gaps. Compare bands on the same tool.

Gunning Fog calculator vs readability checker — which should I use?

Use this page for dedicated Fog grades. Use the readability checker when you need Flesch, SMOG, and Dale–Chall on one screen.

Is Gunning Fog reliable for non-English text?

No. The grade bands are calibrated for English. Scores on other languages are not meaningful.

What are the limitations of the Gunning Fog Index?

It ignores topic difficulty and reader expertise, counts common long words as complex, and varies by scorer implementation. Use it as a diagnostic, not the final word on clarity.