It depends on what you mean by 'inherited wealth'. E.g., A lot of peoples' parents buy them their first car/help with car expenses, etc. I wouldn't really consider that 'inherited wealth', though it definitely gives you a leg up in job opportunities.
On my husband's side, no financial support, apart from them purchasing him his first car in high school. Once he left at 18, he was self supporting in all ways.
On my side, nothing in HS other than the usual room and board.
After I graduated HS, there were 2 notable instances of indirect support that could not have happened if the parties involved weren't financially well off:
1) Loan free college. A wealthy great aunt paid my undergraduate tuition. 2 years at out of state rates, after which I worked to establish residency so I could stretch her gift to cover the rest. Also, during undergrad, my father gave me a small monthly stipend, just enough for me to make my cut of rent and groceries. I worked in the summer; and after my first 2 years, I worked part time all the way through school. I paid for 3 years of grad school by myself.
This was a HUGE help because it allowed me to not work as a freshman/sophomore during classes, but just focus on managing my class and study time and getting oriented to being out on my own in a different state. And I was able to graduate with no student loan debt.
2) My grandmother gave DH and me 10K after we finished graduate school, which we used as a down payment on a house. We were employed and stable by that point, but we were able to buy a couple years sooner than we otherwise would have.
That's it for big things. My parents paid for several plane tickets when I was a freshman and sophomore, helped out with particularly expensive textbooks (Kearney and Peebles for range management classes cost >100$ book back in the early 1990s ...ah memories)...and my Dad memorably snuck my POS car off to have new tires put on it when the old ones were messing the alignment up and I was temporarily out of a job right after graduation.
I feel very fortunate. I had substantial enough help to get me through freshman and sophomore years with minimum anxiety, and allow me to figure out how to build my cash flow and manage on my own by the time I graduated. And no student loans? That was HUGE. My youngest sister went to college much later, and initially did not manage her money as well. She ended up with the 'standard' 30K of loans and it is a huge drag on her finances now.
As to inheritance to come? Very possibly nothing. My father was worth several million a few years ago, but circumstances ate up more than half of that in less than 5 years and he is only in his mid 70s. Whereas ten years ago I might have anticipated maybe inheriting 200K, I know better now than to expect anything. I just hope his money lasts at this point.
ETA: As some people above have noted, we also now support some parental units in an ongoing way...I'd estimate maybe 50-60K spent so far and about 5K per year onging. So in a way, the free undergrad education I received is now being 'paid forward'...or 'backward' depending on how you look at it.