In the spirit of completeness, I'll point out that your math is correct for a constant 8 ohm, resistive load. Speakers and crossovers aren't purely resistive loads, and their impedance can vary with frequency.
FWIW, my Jurassic Halfer DH-220 is spec'ed at 1.55 Vrms to produce the rated 115 watts into 8 ohms. Thus there are Schiit products that (barely) won't directly drive that amp to its rated power (i.e., Modi 2 and Modi2 Uber are rated at 1.5 Vrms output; I believe all the other Schiit DACs are rated at more than enough output to drive the amp to rated power). Granted, in my listening space with my speakers I have no reason to go there ... I'm trying to keep what age, health, and environment have left me of my hearing. In the manual for my current speakers is the following, which I believe to be sound advice: