The phrase "to arrive at" means to reach a conclusion, decision or solution through reasoning and logical thinking. It can also refer to reaching a particular place by traveling there or attaining something after some effort.
It's one of the first things we mention when arriving at work, buying lunch, taking a cab or meeting a friend in the subway. (greenkitchenstories.com)
He researched many of truck schools before arriving at our doors. (truckschool.com)
As long as faith and autonomous speculative reason are seen as arriving at incompatible conclusions, there can be no such thing as natural theology. (religion-online.org)