Tenant screening: Debt-to-Income or Rent-to-Income?

[Jacob Hanson]

It seems like it's most common to use a 33% rent-to-income ratio to screen tenants, but debt-to-income seems like a smarter way to screen tenants to me. A tenant may have a good RTI, while having a poor DTI. Isn't it smarter to use DTI?

What debt-to-income ratio should be used?  I expect it can be a little higher than the typical 33% debt to income ratio.  What is everybody using?