When we look at Batman and Ironman, they are clearly counterparts. Are they equal in their basic equipment? No. But they are counterparts in their personalities. Billionaires, Playboys (well Bruce fakes this part), Philanthropists, Geniuses, Art Collectors, and both are mutant-phobic (Look at Civil War/Thorbuster/Hulkbuster and Brother MK I/OMACs)
Random encounter, basic equipment, Ironman easily wins without pause. Batman would be lucky to escape for a regroup.
Unarmoured Hand to Hand, Batman easily defeats Stark.
With all of that said, let me propose the following Battle.