hit upon

to unexpectedly have an idea.

• I hit upon a good idea.
• She hit upon a good idea.
• I hit upon a good idea then.
• He has hit upon a good idea.
• How did you hit upon such an idea?
• He finally hit upon a solution to his problem.
• While we were discussing the problem, I hit upon a good idea.
• I was on the point of giving up when I suddenly hit upon the solution.
• As long as you stick to one style, you can't hit upon a wonderful idea.