A somewhat different approach for me--"Commuting" typically implies "driving to work," but that is just a fraction of my biking. I also bike to grocery stores, the library, barbershop, bank, post office, park, retail stores...you get the picture. When I ride to a destination to do something that's related to "work/household activities"--tasks which many accomplish via car--I refer to those miles as "utility miles." I also include biking to a recreation spot, e.g. park, library, to do something recreational--again, often traveled via car by most folks. What's not included in utility miles--miles that I biked for the pleasure of getting outside, i.e. a weekend ride or a cruise around town. This means most of my miles are utility miles, all of which I can infer would have been resulted in an approximately equal number of car miles (ignoring a minor uptick in annual miles due to longer but safer bike routes).
Since my family (me, wife, teen son) all bike, we have been able to operate with just one car for the past two years or so. My calculation--
$EstimatedAnnualCar#2Costs - UtilityMiles%*$AnnualBikeCosts = $AnnualSavingsByBike (and divide $AnnualSavingsByBike by miles to get to a $/mile rate)
The estimated car costs are based on usage by my wife and me and include estimates on everything from inspection, tag, gas, insurance, maintenance, and repairs. Utility mile percentage is based on my log (my wife's would probably be within 20% of mine). Annual bike costs are based on bike expenses for all bikes in the house.
This is easier when biking allows you to drop a car and not just reduce your driving of a car.