The formula, and what each term is doing
The score is 206.835 − 1.015 × (words ÷ sentences) − 84.6 × (syllables ÷ words). Those two subtracted terms are the whole model: average sentence length and average syllables per word. Everything else — vocabulary, structure, whether the argument makes sense — is invisible to it.
Look at the coefficients and you can see the formula's opinion. Syllables per word carries a weight of 84.6 against sentence length's 1.015, so word choice moves the number far harder than sentence length does. Adding one syllable to the average word costs about 85 points; adding one word to the average sentence costs one. That imbalance explains most surprising results: a passage of short sentences full of long words scores worse than long sentences of plain ones.
The scale is not a percentage and is not bounded. Text can score above 100 (very short words in very short sentences) or below zero, and both happen with real writing. Treat the bands as the useful part: 90+ reads at roughly 5th grade, 60–69 is the "standard" band most general audiences sit in, and below 30 is specialist prose.
Where the syllable count comes from, and why it matters
There is no pronunciation dictionary behind this. Syllables are counted with vowel-group rules plus a set of exceptions — including the trailing "-le" case that turns "table" into two syllables rather than one. That heuristic is right on the overwhelming majority of English words and wrong on a predictable minority: names, loanwords, initialisms and anything with an unusual vowel cluster.
Because the syllable term is the heavily weighted one, a document full of proper nouns can be scored a grade or two harder than it reads. That is a limitation of every syllable-based formula, not of this implementation specifically, and it is the main reason character-based measures like Coleman–Liau and ARI exist.
The practical consequence: use the score to compare two drafts of the same document, where the vocabulary is similar and the error is consistent in both. Comparing two unrelated documents — especially across subject matter — asks the number to do something it cannot.