( informal )
1.
used to say that a particular fact is true despite what has happened in the past or what may happen in the future :
Well, that's one good piece of news at any rate.
I may be away on business next week but at any rate I'll be back by Friday.
2.
used to show that you are being more accurate about sth that you have just said :
He said he'll be coming tomorrow. At any rate, I think that's what he said.
3.
used to show that what you have just said is not as important as what you are going to say :
There were maybe 60 or 70 people there. At any rate, the room was packed.