Person 1: "I hope I answered all your questions."
Person 2: "Yes, you did, very well so."
Is the "very well so" grammatically correct? What about formality?
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"Very well so" is not idiomatic. You are possibly confusing it with the idiomatic "very much so", which is an emphatic way of answering a question to which the answer could simply be "yes".
You could use "very much so" in response to the question in your example which might perhaps mean that the questions were answered thoroughly. Or, you could instead say "yes, you answered them very well" which might better describe the manner in which they were answered.
"Very much so" can sound semi-formal but it would not be out of place in informal speech - it is a common phrase used by native speakers in all kinds of settings.
"Very well so" is grammatically wrong. You can say: "Yes,you did so,very well" or "Yes,you did it,very well" or "Yes,you did that,very well" or "Yes,you did it,very much so" or "Yes,you did that,very much so" or "Yes,you did so,very much so".
The phrase "very much so" is a formal idiom."Very much so" means "very,very much."
I found in EnglishCLUB 1 the following:
Very much so: This is a formal way of saying "Yes, very much".
-Do you like your new job, Alex?
-Yes, very much so.
-Did you enjoy your holiday in Monaco, Vivien?
-Very much so. It was delightful.