I would say the vast majority. For consumer web startups, you can just guess just by looking at their Compete traffic stats (comparing # of unique visitors to # of employees). For enterprise, it gets a little trickier, but if you see some big client names in their homepage, you can tell they're profitable by themselves.
I'm wondering if these are the exceptions. I heard something like 98% of YC startups get funding, but how many of them are unprofitable and exist only because of their funding in this bubble period?