关你什么事 or 不关你的事

不关你的事

Hi, Alex! If you want the closest direct meaning, you can say either 这不是你的事 or 这件事跟你无关。 However, if you want to convey the same "get out of my face" feeling that often is attached to this phrase in English, then we don't really say "none of your business" in this context. When we want someone to get out of our faces, we'll straight up insult them with 你懂什么？ (Literally: What do YOU know?) or just tell them 去你的！ (Literally: You go/leave!) While we can say 关你什么事？ (it's a way of asking "how does this matter apply to you?"), this question is usually used to persuade someone to stop worrying about something that isn't his/her business, not to tell them to buzz off. I hope this helps. Please let me know if you have any more questions.

正式体： 跟你无关。 粗俗口语体： 关你屁事！

不关你的事