arrive at

to reach a decision, result, solution, etc

• How did you arrive at this conclusion?
• An unexpected result was arrived at.
• There must be a way to arrive at a diplomatic solution.
• We arrived at that plan out of pure desperation, but the book sold well.
• Tom and Bill arrived at different conclusions from each other.
• How did you arrive at that conclusion?
• Tom and Bill arrived at the conclusion independently of each other.
• How did you arrive at such a conclusion?