What would happen if a man punched a woman in the face in public?

And what would you do if you saw?

If an angry impatient man having a bad day comes across a woman getting in his way, like at an ATM or at a store. A woman he doesn't even know or has ever seen before. He punches her in the nose in a fit of rage, breaking it.

What would be the consequence? From what I hear, as long as the fight is outside nothing really matters, or so I've heard.

Would onlookers just stare/gawk at this? Would the man walk away and not get in trouble?

What would happen if a man punched a woman in the face in public?
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