It depends on what you mean by width. If you view the wheel as a disk and consider its width as the side-to-side measure, then they two are the same so the ratio is 1.
If you view the wheel head-on and consider its width as the profile, then there is no relation.
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These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
This is a measure of a car tyre. It is a combination of units and ratios that is enough to drive most people nuts! 175 refers to the width of the tyre (in millimetres) from sidewall to sidewall. 15 refers to the diameter of the wheel rim (in inches). 75 is the ratio (in percent) of the profile to the width. The profile is the length from the wheel rim to the edge of the tyre. I suspect the r means a radial tread but I am not sure about that.
Diameter is the width of a circular or spherical figure or object. Something 180 inches in diameter is also 180 inches in width or thickness.
ratio of circumference to diameter of a circle is 3.14159265:1
Oh, dude, it's like super simple. So, the diameter of a circle is just the distance across it, right? And the width is just the distance from one side to the other. So, to convert diameter into width, you just divide the diameter by pi. Easy peasy!