Varying on the lender you should be fine!
I am going through the mortage loan process with Quicken Loans right now and they are allowing us to go all the way up to 55% 
Personally I've had a great experience with them and would recommend them to my friends/family, but YMMV.
@Anonymous wrote:We are looking to purchase a home with an FHA loan.
Our FICO scores range from 737-750.
We have around $30,000 avaliable.
The home we are looking at purchasing added with our currently debt would put us at around 45% DTI.
Do you think we should still be able to get approved for FHA?
I've read varying reports from 41%-43% with others saying approval for DTI as high as 50-51%.
41% to 43% is usually max for conforming conventional loans with big box banks (their guidelines are a little more strict)
FHA can go to a max of 56.99% for total debt ratio. Many lenders do have an overlay limiting the max to 50% to 55%. Each lender can set their own guidelines.
You are in excellent shape with a 45% backend ratio for FHA or conventional if you use someone besides one of the big box banks
