  We study analytically and numerically on lattices containing $10^5$ spins,
the integral absorption of microwaves by a random-anisotropy magnet, $\int
d\omega P(\omega)$. It scales as $D^2_R/J$ on the random-anisotropy strength
$D_R$ and the strength of the ferromagnetic exchange $J$ in low-anisotropy
amorphous magnetic materials. At high anisotropy and in low-anisotropy
materials sintered of sufficiently large ferromagnetic grains, the integral
power scales linearly on $D_R$. The maximum bandwidth, combined with the
maximum absorption power, is achieved when the amorphous structure factor, or
grain size, is of an order of the domain wall thickness in a conventional
ferromagnet that is of the order of $(J/D_R)^{1/2}$ lattice spacings.
