Using the Windows Update, the order of operations was different for me. After finding the update, The first screen was "initalizing".
Second was "preparing to install" counting to 100%.
Third was "downloading" counting to 100%.
Fourth is "installing" (and currently counting).
I assume that the restart process will prompt me after the installation.
Note - I have tried this 3 times before, and all failed. This time I turned off McAfee and disconnected from the internet upon the fourth step. It appears to be working, but we shall see.