You don't seem to understand how competitive YC is. Guys like that are a dime a dozen when your acceptance rate is less than 3%[1].
Actually its not in terms of business.
Success = Profit + Long term sustainability in doing so.
Success in a business context means a positive rate of return on the resources invested. Or to refine one step further, a return that is positive and superior to the next best alternative for the deployment of said resources at a given level of risk.
See Amazon (or as noted below, Instagram).
However I also think that is a problem for many people who want to startup. They don't usually think about how they'll show a profit and manage to run their business within that profit. Investor money gets them started and an exit by selling an unprofitable yet growing business to a larger company is the goal.
Instagram, among many others, most certainly generated ample return on its initial invested resources without ever generating profits.
Yet the media and the community celebrates founders for all sorts of things and call it "success" when it's not. So yes, it's incredibly vague, and the existence of an accounting formula means nothing in the founder psyche.
I quickly realized after that most "success" is exaggerated in the media, etc. and true success takes a lot longer than we expect. Raising $1M isn't success. Hell, raising $5-30M in today's climate isn't success. "Success" is such a vague concept that it's best to just focus on being happy and building cool shit and growing it year after year. It takes time.