hit upon something

Last month the board hit upon an idea to get ahead of the game.

In doing so, he hit upon the idea of opening his own.

At last, after much thinking, he hit upon a plan.

I didn't know why more people hadn't hit upon this very same idea.

Let me explain how I happened to hit upon this place.

One day he had hit upon the last half of the combination.

Had she hit upon the truth of this without my telling?

Your friend David hit upon it when he was a man.

Too many to try to go through and hit upon the right answer.

I can't think how on earth you managed to hit upon the truth.