For size_t, assuming you have a sufficiently modern C library, use %zu.
If you can’t use the z modifier (some older libraries unfortunately don’t support it), cast to a wide-enough known type when printing, and then use a width specifier appropriate to that type:
size_t sz = sizeof(whatever);
...
printf("%lu", (unsigned long)sz);
This works as long as you’re never working with a size larger than 4 billion or so, i.e. that can fit in 32 bits.  If you’re on a system where size_t is 64 bits but long is 32, you’ve theoretically got the problem of a size which size_t can hold but %lu can’t print.  Whether this is a problem for you, and what to do if it is, is up to you.  (The ideal solution, if your library supports it, is to go back to %zu, which is the preferred solution and doesn’t have this problem in 32-bit, 64-bit, or any other sized environments.  Or I guess you could use unsigned long long and %llu.)
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solved C printf cross-platform format without warnings [duplicate]