100 meters at 1/87 scale is 1.149 meters or 1149 mm
100 meters at 1/160 scale is 0.625 meters or 625 mm
625 mm divided by 1149 mm is 0.54395 or 54.395 percent

Elsewhere on the 'net:
https://www.nmra.org/beginner/scales
Someone wants to convert N to HO, the answer says multiply by 1.84, the reciprocal of 1.84 is 0.54348: https://www.trainorders.com/discussi...d.php?3,437132

If there's any 3D printing going on here, I'd expect that resin based printers will provide best results for detail.