I’ll make this short and sweet: The proper expression is “based on.” You’re not looking for “around,” and you are definitely not looking for “off” or the even more heinous “off of.” Just look at the words. What is a base? Something that supports something else — so nothing can be “based off of” something else, because then it’s not standing on that base at all.
See why that is?
Something can most definitely be spun off from something else — but then it’s based on the thing it was spun off from. It starts on the base, and then goes off to wherever it’s being spun.
To recap: It is always based on and never any other variation.
The other word combination that always grates is the mismatch of “how” and “like.” You’ve probably seen this little abomination all over the place: “This is how it looks like.”
Nope. “How” is self-contained. It’s the one question word in English that cannot ever go with “like” in a statement. Contrast that with things like “This is who you look like,” or “This is what it sounds like (when doves cry),” or “Where does it seem like we’re going?” I’ll trust you to come up with your own examples for when, which, and why.
Each of those words has a single, specific answer. “How” does not. “How” is something a little more elaborate than a simple response:
“What does it look like?”
“A loaf of bread.”
“How does it look?”
“Like someone threw a Jackson Pollack painting into a blender and left the lid off.”
But even when it’s not in the form of a question, you don’t need the “like” with the “how” because you’re either going to leave it as a simple statement, “This is how it looks,” or you’re going to answer it with another clause, “This is how it looks when you drop fifteen watermelons out of a hot air balloon.”
Since we’re describing the actual experience we’re going to show you, it doesn’t look like anything else. It looks exactly like what it is — making this one online “like” you’re going to want to avoid.