Comparing the percentage of students determined to have need at one school with the percentage at another school is not very useful since the basis for determining need can vary widely. My older son was a case in point. He received about $20k in need based grants from Carleton, about $18k from Brown, about $16k from Grinnell, and zero from both Midd and Bowdoin. CC gave him $10k in merit and about $1k in need grants. Whitman gave him about $24k in grants that were an undefined mix of need and merit.
For what it's worth, my younger son applied to CC this year and was rejected after being deferred EA and after we submitted our financial aid forms. Since we now have two attending, our need is greater than when S1 applied, so that may have been a factor in his rejection. On the other hand, his stats are not quite as high as S1's, so it's hard to say. Younger son will be attending Whitman in the fall with about $24k in need and merit grants, so I guess it all worked out.

. I will say both my sons liked what they saw of CC, but got the impression the students were very well heeled even when compared to the other LACs they considered.