ALL photographic equipment that you will find in your local copy center WILL distort any reduction/enlargement made. The document is square, the lens in round, end of story. When doing that kind of scaling, I use the enlargement as a visual guide but will depend on measured dimensions, to the point I use an Optivisor to try to extrapolate as accurately as possible. Keep in mind that the enlargement also upsizes the thickness of the lines, so a line that scale 1" thick in HO scale will scale at 3" thick in 1:29.
Also keep in mind the drawings you are scaling from a magazine article, etc. have been reproduces in the same manner as you local copy center, just with much higher quality and larger equipment. (This is qualified with the caveat that newer magazines are going directly from the digital graphics directly to the printing platten which removes most if not all distortion.)
A simple rule for scaling is beginning scale divided by desired scale equals scale percentage. Reference Andres’s math above. Another example would be N scale drawing to Fn3
160 / 20.3 = 7.88 or 788%