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Custom conversion rates

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# 1
Visitor ✭ ✭ ✭

We have several different conversion rates that we want to track and report on.  I believe this can be done creating custom metrics, but need some assistance.  Here are examples of what I'm trying to do:

 

Leads: EVENT Action equals 'submit' and EVENT Label contains 'lead'

divided by

Product Views: PAGEVIEWS when PAGE equals '/product_page/'

 

Another example of a conversion metric I would like to get:

 

Product Views: PAGEVIEWS when PAGE equals '/product_page/'

divided by

Search Sessions: SESSIONS where the user viewed the PAGE 'search_results' (in GA, I use a Custom Segment to view these users)

 

Thank you.