How to use it
Pick whether you know the real size or the model size. Type the number, choose the unit, then the scale. A real 20 metre coach in OO comes out at about 262 mm. The table under the answer shows the same coach in every scale on the list, so you can compare N with OO before you buy.
Going the other way is handy for buildings and figures. Measure a model with a ruler and type it in as a model size. You'll see what it stands for on a real railway.

How it is worked out
A scale is a ratio. 1:87 means the model is one eighty-seventh of the real thing, so the tool divides the real size by 87, or multiplies a model size by 87. It's one sum, whichever way you go.
The scales and track gauges come from the European standard NEM 010, published by MOROP: Z is 1:220, N 1:160, TT 1:120, H0 1:87, S 1:64, 0 1:45, I 1:32 and II 1:22.5. The same standard says 7 mm scale is 1:43.5 and 4 mm scale, the one OO uses, is 1:76.
British modellers often give a scale as millimetres to the foot. A foot is a third of a yard and a yard is 0.9144 metres in law (Weights and Measures Act 1985), so a foot is 304.8 mm. That makes 4 mm to the foot exactly 1:76.2 and 2 mm to the foot 1:152.4. PECO, which makes British track, labels its OO track "Scale 1:76, OO gauge" and its N track "Scale 1:148, N gauge", so British N is on the list too.
Sources: MOROP NEM 010 (2011 edition); PECO product pages; Weights and Measures Act 1985, Schedule 1. All read 30 October 2026.
