So today I went to use my iPhone 5 and it wouldn't turn on. The battery percentage was in the 90's as well. I thought it was weird, but I assumed plugging it in would turn it back on. Plugging it in has done nothing and it is still unresponsive. Now I don't think this is a battery issue, because I just got an official battery replacement in september. My iPhone was one of them that had bad batteries and would experience random shut offs at lower percentages. The one problem to is that my sleep button doesn't work so I can't exactly turn it on that way either. Any ideas what I should do?