There are several good answers which have concentrated on the 'debt' and/or 'rent' part of the question. For something different and hopefully also helpful, I'm going to concentrate on the 'financial assessment' part, which almost everyone has ignored.
You should consider who is performing the financial assessment, and why.
Pending any further clarification from the original poster, I'm going to assume that someone is trying to decide if they should lend you money, and if so how much, and at what rate. But I'm only guessing and I could be wrong.
When someone is financially-assessing a possible borrower, all they're trying to do is answer one question: how likely is it that this person will default?
They are probably going to feel there is some difference, however small, between:
I'm making $2000 in debt payments every month, including rent
I'm making $500 in debt payments every month, and also $1500 in monthly rent
As other answers have indicated, all other things being equal, they're probably expecting you to provide them with your information in the second format.