A lot of people seem to find the subject of scale confusing. Part of the reason, I suspect, is that the terminology involving it sometimes gets applied carelessly.
The common expression "54 mm scale," for instance, came into use among military miniature collectors because 54 mm was a convenient height for a reproduction of a human being. (Assuming the person in question was six feet tall, that makes "54 mm scale" about the equivalent of 1/33 actual size - close enough to 1/32, as MortarMagnet noted.)
Scale is usually expressed in one of two ways: either by means of a simple fraction, or by equating some measurement in the miniaturized object to its full-sized equivalent. The scale of 1/8" = 1', for instance, is the equivalent of 1/96 actual size. (An eighth of an inch on the model represents a foot in on the full-sized object. There are 96 units of 1/8" in a foot - right?) By the same token, 1/16" = 1' is the same as 1/192, and 1/4" = 1' is the same as 1/48. And so forth.
Folks who use the metric system often find it convenient to think in multiples of ten. That's one reason why continental European kits are often on scales like 1/100, 1/150, 1/400, etc.
Some British modelers adopt the convention of stating scales in the reverse order to what Americans are accustomed to. 1" = 16' obviously is the same as 1/16" - 1'.
Some modelers adopt a casual, near-slang for talking about scales, with the result that neophytes can get confused about it. (Modelers aren't the only ones; architects and engineers are guilty of the same sins.) I cringe every time I hear an airplane modeler talk about "quarter scale." He almost certainly means "forty-eighth scale" - i.e., 1/4" = 1'. (A model of a Spitfire or a Messerschmitt 109 on genuine "quarter scale" wouldn't fit in the average modeler's workshop.)
One acquisition I highly recommend for anybody getting seriously interested in scale modeling is an electronic calculator that works in feet, inches, and fractions. Such gadgets used to be scarce (and expensive), but nowadays you can find them at places like Lowe's and Home Depot for less than $20.00. Some of them also make instant conversions from the English system to metric.