There is no problem.

When a solution appears to make both sides better, we are frequently tempted to use a timeless response to queries asking for further changes.  "There is no problem, so what's wrong with what we have now?"  How do you convince an organization, or person, a problem exists when they resist the that very possibility?  Sometimes it will be due to the other party no seeing the current situation for what it truly is.  Sometimes, it is because they have fought with everything they have to be rid of the problem and they do not want to admit they failed.  The bias can also be inherited from an admired predecessor.  The only way you can move past this point is to listen to the other side very carefully.  You must identify all of the assumptions their belief is built upon.  The next step is to prove their assumptions, as related to the problem, are not valid and a major issue does exist.  Peeling back these assumptions, and their validity, is not as painful as you might think.  The key to success is listening.  Do not reject what the other side of the argument is.  Listen and take note.