^^ The income ceiling for aid varies from college to college, and also is influenced by various factors including the number of college-age children in your family. Usually, the best way to estimate how much aid to expect is to run the online net price calculator for any school that interests you.
Here’s College Scorecard’s breakdown of average net costs to attend several schools that claim to meet 100% of demonstrated need:
https://collegescorecard.ed.gov/school/?123961-University-of-Southern-California
https://collegescorecard.ed.gov/school/?121345-Pomona-College
https://collegescorecard.ed.gov/school/?243744-Stanford-University
(Expand the “Costs” section to see averages for various income levels)
When I run Pomona’s net price calculator, assuming only one child, it looks like aid drops to zero at some point around the $225K/y income mark. YMMV. Pomona is a rich, selective school. Aid might drop to zero at a much lower income point even at some other colleges that claim to meet full need.