Various describes several different kinds of things, like a candy shop that is home to various sweets, from lollipops to chocolate fudge.
Various comes from the Latin word varius, meaning "changing, different, diverse." If you have various interests, you have a lot of them, and they represent a range — you might love hip hop, movies from the 1940s, fixing cars, and reading fashion magazines. Various can convey a high number, like when you say, "Various people want to get involved with the park clean-up." This means a lot of people want to help.