If this is the wrong forum, my apology in advance.
Identifying cheaters?
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Actually, upon further review, he played 4 games in a row with 92.6, 96.5, 95.8, and 94.5% accuracy. These games were 26 moves, 8 moves, 17 moves, and 28 moves respectively.
Accuracy is just a toy to keep players entertained. It has nothing to do with actual cheat detection.
Even a low rated player can play accurately if the opponent (probably another low rated player) plays a ton of blunders that are easy to spot and easy to punish. Cheat detection uses more sophisticated tools.
Also, in your very last blitz game you had an accuracy of 94.3% yourself. Are you suspicious of that too? 
If you have suspicions about a game, report it to chess.com and they will put it through their anti-cheat software. If they find what they consider clear evidence of cheating, that player will be banned. That is the only remedy, Talking about it in the forums is useless
I was playing a dude and I was really surprised by some of the moves he made that seemed very advanced for someone with a 590 rating in 1100+ games played. I noticed in his most recent games he had a stretch of three games of 94, 95, and 97% accuracy. Granted, one of them was a pretty short game where he check mated his opponent it in few moves, but another one was 28 moves in and he had 20 best moves and 7 excellent moves and 1 book move. No mistakes, inaccuracies, or blunders. Am I being too suspicious? Or does this seem like reasonable suspicion of cheating? His stats show him at ~66% move accuracy. Thanks for any feedback. I am a new player and want to enjoy learning chess on here, but I also want to feel like I am getting fair played.