I've tried explaining the benefits of vagrant to some of my fellow developers. I've failed every time. I've now resorted to calling it "magical" and "just try it and you'll get it".

At the very least, you can think of it as a nice CLI to the hypervisor on your machine. Something that's consistent across different host OSes - as long as you've got the right version of Vagrant :) That and synced folders is enough of a win in my books.

Edit: I noticed you are asking about workflow. That's another thing about Vagrant. I use it like a swiss army knife for various tasks as needed. It isn't really part of a workflow per say. I do a lot of exploratory programming, trying out new stacks/packages/tools, etc. It fits well with that kind of use case.