Search function for migrated forums

When you migrate from one forum to XenForo, does the search function work for all terms used within the old threads and posts that are transferred?

If not, is there a way to remedy that?
Thank you most kindly Jake. I am not very tech savvy and the possibility of not being able to search through 100s of thousands of posts was really bothering me. I will be having someone do all this for me BTW. :)