There are English idioms that express that concept, but I don't think there is anything wrong with the way you wrote it. The fact that you didn't use a common p

There are English idioms that express that concept, but I don't think there is anything wrong with the way you wrote it. The fact that you didn't use a common phrase made me read it more carefully. The simplest phrase that comes to mind is "the other way around". Or you could say "cause and effect are reversed".