There are no dumb questions, just unasked ones. And the folks on this site are very friendly towards nice people.
So...here's the answer: except for some very-unique exotic toilets, the bolt holes in the toilet are in a standard configuration, and there are two basic sizes, round and elongated. So a round bemis/church/toto/kohler seat will mount on any standard round toilet, and the same for the elongateds. That said, sometimes a seat looks a little better or is designed to fit best on certain models, so that Toto seat on your Toto might be more aesthetically-pleasing on the Toto than some seats would; or maybe it's just a nice-looking seat!
Also, if your toilet is a different color than Cotton White, sometimes the color match is a smidge better for the Toto seat on the Toto than another manufacturer's seat, but the reality is that pretty close is usually good enough. Bathrooms are surprisingly-dark; we usually see the color difference only when someone takes a flash photo.
I don't know for sure what Toto soft-close you have on your Toto, because several will fit, but if I had to bet, dollars to donuts, it would be the SS114. Google that and see if it doesn't look similar. Than you can order it with confidence knowing that it will fit your Cimarron (assuming that the Cimarron is the elongated and not the round; there is a round version of the SS114 called the SS113, if you need that).