If you happen to’re going to willy-nilly divide issues by random deflators, possibly it is best to learn this (free) handbook first.
For a extra compact exposition, see this 2008 blogpost, with hyperlink to Diewert JEP piece.
Should confess, after I first bumped into “Fisher very best value indices” as an undergraduate, I used to be befuddled. However I appreciated the data after I grew to become a analysis assistant.