As an example of what I do with 400 film like Tri-X or HP-5, these, normally rated at ASA 400 I use 250 instead. That's 2/3rd's stop more expose that box speed. If I would have found the negatives were too contrasty I would drop back my usually developing time somewhat. Conversely, had they been flat, give more developing time...10 minutes, for instance, instead of 8 1/2 minutes to bring the contrast back up a tad.
In short, when you overexpose a little, as in my case, you undeveloped a bit to compensate.