The SMOG Index formula
SMOG = 1.0430 × √(polysyllables × 30 ÷ sentences) + 3.1291- Words of three or more syllables, scaled to a 30-sentence sample
What it counts
Only polysyllables: words with three or more syllables, including repeats. McLaughlin’s hand method counts them in 30 sentences (10 from the start, middle and end). We use the regression form, which scales your count to 30 sentences.
What score to aim for
Health-literacy guidance commonly asks for SMOG grade 8 or below for patient materials.
Limits to keep in mind
SMOG was designed for at least 30 sentences. On a short paragraph the scaling exaggerates each long word, so treat results on fewer than 30 sentences as rough.
Where it comes from
G. Harry McLaughlin published SMOG (“Simple Measure of Gobbledygook”) in 1969. It was built to predict 100% comprehension, stricter than other formulas that target 50–75%.
Source: McLaughlin, G. H. (1969). “SMOG grading: a new readability formula.” Journal of Reading, 12(8), 639–646.
How we count syllables, sentences and words, and how our numbers compare on test passages, is documented in Readability formulas explained.