Isn't a ransomware attack no different from a catastrophic disk drive failure? You reformat and restore from backup. Of course, the companies profiled in that article had all their computers infected, so it could take some time. Still a recovery boot disk could be distributed and a clean image restored over the network.
You should expect that any backup of systems (instead of backups of 100% pure data) will contain backdoors, that any weird systems (routers, printers, phone centrals) may be compromised even if they seem fine, and that the credentials of all the employees and any private keys/certificates have been exfiltrated, so they need to be changed.