Well the sender, receiver and the amounts are all hidden, so yes.
I should still note that it isn't a magic bullet, and that things you do in connection to the monero blockchain can obviously still give the authorities an idea of what you are doing.
Would it still be hidden if a government identified servers hosting the network, seized them and forensically analyzed them including having access to potential zero days in encryption tools, backdoors in algorithms, and supercomputers?
Etc etc. My point is that anonymous is an ideal, not a absolutist reality.
I should still note that it isn't a magic bullet, and that things you do in connection to the monero blockchain can obviously still give the authorities an idea of what you are doing.