I cheated, should I break up with my partner?

If you are currently dating him/her while cheating with someone else, then yes you should and explain why because you will hurt their feelings more if they find out themselves. But if you are dating your partner and broke up with your other one, then you should simply tell them that you once cheated on them but you broke up and see if they give you a second chance, if they don't, well, you shouldn't have cheated in the first place.

if I was in that position I would be honest with my partner and look further into the reasons as the why I cheated.

No. I think the best thing you can do is tell your partner. Hopefully your partner will give you another chance. Hope it works out.

Not necessarily. While something like this usually throws off the dynamic of the relationship, the most important thing to do is be honest. This has fostered trust and respect in my relationships, and makes the issue considerably easier to deal with rather than keeping it a secret to be found out later. This said, If you DGAF and cheat a lot, break it off, and maybe don't try to commit so much more than you know you are capable to.

You need to find the reason why you actually cheated. Was it because you really loved the other person more or it was something you did because of being under pressure or a tough situation. Once you've found the answer it's much easier to decide if you want to stay with your partner or not. Regardless, try to talk to them. Honesty is the key.

Communication. Talk to your partner, have a conversation about what happened. From there is where you decide anything about your relationship. Relationships are a team effort.

You should speak with your partner and be honest and level headed in a discussion. Listen to their feelings on the topic, and try not to place blame. Try to come to an agreement, whatever that may be- Breaking up, or not.

You could... or you could keep it a guilty secret... but, if you want to stay together, you need to tell your partner what happened then work together to decide if it's something you can both overcome.

Be honest with your partner, communication is key. If you talk it over with them you can come to a conclusion which you'll both agree on.

If you feel the need is there to break up then yes. But be honest with them and tell them what happened. They may forgive you and want to work on fixing things.