I think this is going to be hard to explain over text as excel cells aren't quite standardized enough... (if you were using pandas or numpy in python things are almost taylor made for forum correspondence-- it really would be as simple as dropping in a couple lines of code... )
Does the below sketch work?
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you have two pivot tables. Linking to pivots is the same as as with regular cells excel if you 'click' the pivot cell it won't have a regular cell reference. You want underlying cell references, so don't click them. So on a new worksheet tab, you want to create a formula that references the two pivot tables-- here in your references you type in cell formula (in your picture the cells would be something like "$Sheet4!A$4: $Sheet4!?$?") for both of your arrays. you grab the values you want by vlookups, and then divide things as needed.
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I felt uncomfortable while writing that as it seems we have the wrong tool for the job on two levels here (i.e. explaining this by text with clunky excel interface -- maybe a youtube video would be ok though) and I get less and less happy with spreadsheets as the right tool for anything, but I digress.
Some extra care is needed in dealing with pivot tables, on a few different levels. Not sure how much that helps.