Will a Mach 460 work in any 99-04 Mustang?

I have a 2000 Ford Mustang with the standard stereo (tape deck with cd player below it, 4 speakers). I was recently given a complete Mach 460 sound system from a 2002 Ford Mustang. I know I would have to change the radio bezel so that the cd changer would fit. Other than that, would I be able to install the entire system in my car easily enough or will it not fit? Thanks in advance!