A library has 240 books. One-third of the books are fiction, and the rest are non-fiction. Of the non-fiction books, half are biographies, and the rest are other types of non-fiction books. If the library receives a donation of 60 more books, all of which are fiction, how many fiction books will the library have in total, and how does this compare to the number of non-fiction books? Let's think step by step and output the final answer within \boxed{}.
user