Anything you pay off as soon as it's due is not debt.
For example, if the full amount is due within 30 days -- or your rent is due within 3 days of the first of the month, it's not debt if you pay it within those deadlines. Whatever balance you do not pay in the time allowed for full payment is debt, including future installments on any purchase not paid ...
When you are asked that question (for example by a potential lender), they want you to use the minimum credit card payment amount.
How to Calculate Debt-to-Income Ratio (DTI Ratio):
Credit card payments (use the minimum monthly payment amounts not what you actually pay)
How to Calculate Your Debt-to-Income Ratio (and What It Means):
The assessment is trying to get a picture of your cash flow, broken down into different categories. For this purpose, the actual amount that you're paying is what's relevant. The fact that the credit card company will accept less without penalizing you (except for interest) doesn't really matter, in my opinion.
However, there's a possibility that this could ...
It sounds like really the only reason you're finding the question posed
What is your total monthly debt payment (e.g. student loans, vehicles, credit cards, personal loans, etc.)?
confusing is revealed in the phrasing of this question's title,
Would the minimum payment or full CC amount be considered monthly debt?
The financial assessment is not ...
Rent is a living expense, not a debt.
"Monthly debt" is a contradiction in terms.
Living expenses is the right word for new expenses that crop up every month, like the cable bill.
Debt is the total amount you owe, and it is not time-related; it's not a rate, so it can't be "monthly". Paying that large amount would instantly end the debt.
I can understand the spirit of the other answers that are drawing a distinction between money that's accruing interest and money that's not. You swipe your card, your bank pays the merchant $25, the merchant gives you lunch, you owe your bank $25. That's a $25 debt. If your bank gives you a generous grace period before charging interest, that's fine, but ...
then which monthly debt payment should you calculate?
I think the only legitimate answer to this question is, "it depends" (on the context). Why are you doing this calculation and what else is involved?
Generally, in a financial sense, debt means money a borrower owes a lender - it's a deferred payment, usually including interest, for some ...
which monthly debt payment should you calculate?
Since you are treating the CC as "slightly deferred spending" instead of "borrowing", I would not consider that as a debt payment.
(Note that I payoff my CC at end of month, not on the due date, because it's paying current spending. This simplifies my budget.)