Ratio of Instructional designers to faculty/courses at institutions

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Hey folks, this is tangentially related to Canvas, hope that's ok.  I work at a small medical college with about 50 faculty and 600 students.  I am interested in the ratios at other colleges/universities (of any size) between Instructional Designers (in-house or contracted) and the number of faculty/courses they support?  My goal is to be able to report to our leadership that we need to hire more IDs (or pay the one we have more) if our numbers are off.  Also, a significant number of our courses need a substantial overhaul just to be compliant with accessibility, never mind take advantage of modern LMS and LTI features.  So, this will be a lot of work.  Thanks in advance.