Step 1 — what the school costs

Tuition, fees, room, board, books and travel — the school's full published figure for one year, not tuition alone.

Step 2 — income and assets, by owner

Income
Parent
Student
College assets — the pool the formula counts
A / aNet college asset
Non-college assets — the pool it does not
Not assessed — costs you nothing

Step 3 — assessment rates

A student's dollars are assessed far harder than a parent's — which is why who holds an asset matters as much as how much of it there is.

Your share, and what the school covers

EFC = I×20% + A×6% + i×50% + a×20%
Financial aid = Cost of attendance − EFC

Worked out with your numbers

The lever — what moving a dollar is worth

Every dollar sitting in the college pool costs you its assessment rate, each year the school looks. Move it to the non-college pool and that cost goes to zero. Because the rates differ by owner, the same dollar is worth very different amounts:

A 529 is the case where ownership does the work on its own: it is normally reported as the account owner's asset, so a parent-owned plan is assessed at the parent rate rather than the student's — the same balance, several times cheaper. Confirm the treatment against the formula your schools use.

Income is the harder one — I and i are assessed at the highest rates of all, and unlike assets you cannot simply move them. That is why the planning has to happen before the year the formula looks at, not after.

One year at one school. Which assets fall on which side is not universal — the federal FAFSA formula and the CSS Profile used by many private colleges draw the line differently, notably on home equity — so set the categories and rates to match the formula your schools actually use. Aid is floored at zero: when EFC exceeds the cost of attendance there is no need-based award, and a larger EFC does not create a bill beyond the cost.