Using the calculator at https://www.savingforcollege.com/calculators/financial-aid-c..., and setting no savings and no 529, it appears you're expected to pay about 1/4 to 1/3 of your AGI (checked at $50k and $500k and several points in between). Which basically means no relief from the sticker price at private schools if your AGI is over ~$250k, and no relief from the sticker price at even the least expensive public schools if your AGI is over ~$80K.
Or am I missing something?