Sure enough... that's why I took the liberty of specifying "100 hp
(input"). That may not have answered quite exactly the question asked,
but lends itself to doing a finite-envelope model without having to
look around in the bottom drawer for another envelope.

Accounting for real-world efficiency, the actual power usage curve, and
other things you'd want to tease out if you were designing or
specifying equipment, rather than just getting a quick calculation onto
the right order of magnitude, makes for big equations with a lot of
moving parts.

Cheers,
--Joe