I am not sure exactly. We are putting money away every month. Far more than most parents, I imagine. But if dd attends college, it will be in 15+ years. College costs have more than doubled in the last 15 years and all predictions are saying the same will occur in the next 15 years. So, even with what we are putting aside, I am guessing that it will not be nearly enough. So despite giving all of the help we can, I suspect dd will still be responsible for a good chunk of it.
OTOH, dh and I both put ourselves through school with no help, scholarships, grants, or anything. We both did have loans and graduated with a combined $50K in the hole. We resolved to continue to live like college students until the debt was paid off. With both of us working full time and continuing our modest lifestyle, we had all of it paid off within 2.5 years. And that was while living in one of the most expensive areas in the U.S. We literally sent in 2/3 of our income each month forgoing cable, eating out, and new clothing. I do think it is quite possible and not too crippling to learn that lesson early on. Many of our friends and fellow grads felt compelled to blow money on brand new cars, clothes, new houses, etc......and to this day still complain about their loans. I also feel that we valued our educational opportunities far more than we would have had it been handed to us by our parents.