Restore iPhone from iCloud backup
I backed-up my iPhone to iCloud and then performed a factory reset. Now I want to restore from the backup, but in iTunes it says 'Your iPhone has never been backed up to iCloud' (and the backup doesn't appear in the list) and in iCloud Backup on the iPhone there is an option to back-up again but not to restore.
The timestamp at iCloud Backup is when the pre-factory-reset backup was made, and all of the backed-up data seems to be listed at iCloud Manage Storage, so it seems that the backup is there, but how do I restore from it?
iPhone 5, iOS 8.2, null