Actually that’s the book of Isaiah (Isaiah 14:12) but it doesn’t say Satan, it says Lucifer. That’s the only reference to Lucifer in the Bible (old or New Testament), and that’s been interpreted as Lucifer = Satan = fallen angel who led a rebellion in heaven, but there’s not much else to this, at least not in the Bible.
Although that interpretation makes little sense in the context of the Isaiah 14.
The name Lucifer, is a from the Latin Vulgate translation of the Hebrew word 'heh lel', meaning 'shining one'.
In the context its being applied to the dynastic line of Babylon, at Isa 14:15,16 indicating this 'shining one' is a man, saying 'Is this the man that made the earth to tremble?'(Kj)
I’m not sure “making sense” is a relevant criteria when discussing mythology. The fact remains that Jesus (or at least the author of Luke) interpreted it as Satan.
