Where the numbers come from
Rudolf Flesch published this in 1948, and the three constants - 206.835, 1.015 and 84.6 - were fitted against reading-comprehension test results rather than derived from anything. That is why they look so oddly precise. They are a curve fit, not a theory.
What the formula assumes is simple and mostly true: longer sentences are harder to follow, and longer words are harder to read. What it cannot see is everything else - whether the sentences are in a sensible order, whether the words are the right ones, whether the argument holds together at all.
Two ways to move the score
- Split sentences. The sentence term is weighted 1.015 per word of average length, so cutting your average from 25 words to 18 adds about 7 points.
- Shorter words. The syllable term is weighted 84.6, which makes it the more powerful lever by far - dropping average syllables per word from 1.7 to 1.5 adds about 17 points.
That weighting is why swapping "utilise" for "use" moves the number more than you would expect, and why technical writing scores low no matter how short the sentences get: the vocabulary is the constraint.
Score, or fix?
This page shows the arithmetic. If you want to know which specific sentences are dragging the score down, the readability checker lists them.