Breaking down to the actual performance of string comparison versus non-floats, in this case any size unsigned and signed does not matter. Size is actually the true difference in performance. Be it 1byte+(up to 126bytes) versus 1,2,4 or 8 byte comparison... obviously non-float are smaller than strings and floats, and thus more CPU friendly in assembly.
String to string comparison in all languages is slower than something that can be compared in 1 instruction by the CPU. Even comparing 8 byte (64bit) on a 32bit CPU is still faster than a VARCHAR(2) or larger. * Again, look at the produced assembly (even by hand) it takes more instructions to compare char by char than 1 to 8 byte CPU numeric.
Now, how much faster? depends also upon the volume of data. If you are simply comparing 5 to 'audi' - and that is all your DB has, the resulting difference is so minimal you would never see it. Depending upon CPU, implementation (client/server, web/script, etc) you probably will not see it until you hit few hundred comparisons on the DB server (maybe even a couple thousand comparisons before it is noticeable).
- To void the incorrect dispute about hash comparisons. Most hashing algorithms themselves are slow, so you do not benefit from things like CRC64 and smaller. For over 12 years I developed search algorithms for multi-county search engines and 7 years for the credit bureaus. Anything you can keep in numeric the faster... for example phone numbers, zip codes, even currency * 1000 (storage) currency div 1000 (retrieval) is faster than DECIMAL for comparisons.
Ozz