This question is getting close votes as 'primarily opinion based'.
Shouldn't it stay open with an answer "There is no data"?
The question is pretty straightforward: For what proportion of the earth's history has there been permanent ice?
The OP does not ask for an opinion, neither are there answers that are opinions, debates, vague claims etc.
What may be confusing here is that the OP is quoting an unsubstantiated claim from Wikipedia, but that's exactly why he asks the question here.