I'd be surprised if it was more than 1%. But getting actual data is impossible of course.
But at the same time, I'd be surprised if less than 5% of convicts had done the specific crime they were sentenced for even under the assumption of the entire law and justice system being fair, impartial, and skilled.
(I don't have a word for what I am: I don't believe in anarchy, but I would radically liberalise as much as possible. I would also wildly reduce the punishments for most of the remaining laws are enforced so that perfect enforcement wasn't completely bonkers, and then make enforcement perfect. Normally I see people aiming for one or the other, perfect enforcement or liberalisation, not both).