It's done hierarchical where possible - the permissions are set on the 'top' folder, and folders below take them from that; usually. But there's also the option to NOT have folders take hierarchical permissions, in which case they need to be set on each and every file/folder.
On the other machine, your username will appear as a GUID, and will require ownership rights to remove. If it was just set on the topmost folder, and they were set hierarchically, then you can remove it once and the rest will automatically be removed. If not, there's an option to update the permissions for all files and subfolders.
