Bottom bracket requirements
Bottom brackets are designated by their body width, axle width, and taper type in the case of square taper bottom brackets.
68 x 115 JIS taper = 68mm wide bearing body (which the conversion kit uses) x 115mm axle width, Japanese Industrial Standard taper, which defines the angle and dimensions of the taper for the square ends of the bottom bracket. Campagnolo uses the ISO standard taper, which fits poorly with crank arms other than Campagnolo or French cranks.
The axle width, in combination with the drive side crank arm type, determines the chainline dimension, which in turn determines how the chainrings align with the cassette. Axle width will differ depending on how many chainrings your crankset uses; the objective is to center the chainrings in the cassette width to make sure the chain is minimally deflected in any given cassette gear. Generally we are looking for a 47 - 50mm chainline dimension for conversions. Chainline is measured from the center of the adjustable front tube to the center of the center ring's teeth on a triple, and to the midpoint between the rings on a double chainring crank.
Additionally, road cranks tend to sit farther down on the BB axle taper than MTB cranks. So a bike using a road crankset may use a wider BB axle width to obtain proper chainline than an MTB crank on the same frame.
Charles is using a "trekking" crank (typically defined by the 48/38/28 chainring tooth counts), and these can follow either the road or MTB convention, with most in the MTB camp. If the crank you buy has a recommended BB, purchase that also or identify its specifications so you can match the BB to the crankset.
Folks tend to think of bikes as simple machines. My experience is the simpler the machine, the more subtle important things tend to be.
Cheers,
Doug