I found out tonight that the person who sings Piano Man is not Billy Idol but instead someone called Billy Joel, who is a different person. I thought that Piano Man sounded very different from White Wedding and Billy Idol's other songs but for some reason I didn't figure it out before.
Clarification: I know and love the song Piano Man, and many other Billy Joel songs, I just thought they were sung by Billy Idol. I was quite impressed that Idol had such a varied musical repertoire. I just don't think I paid attention after someone said "Billy" since I thought there was only one "Billy" singer. Turns out there are two.