What does the other way around mean?

"The other way around" means reversing the order or relationship of something. It implies a change in the usual or expected way things are.

Here are some examples:

* "I thought the button was on the left, but it's the other way around." This means the button is actually on the right.

* "You think I should go first, but I think it should be the other way around." This means the speaker wants the other person to go first instead.

* "You said you wanted a small cup, but I gave you a large one. Did you want it the other way around?" This means the speaker wants to know if they should give the person a small cup instead.

Essentially, "the other way around" signals a reversal of the original idea or situation.