One needs to carefully plan and understand the Cloud Responsibility Model aka Shared Responsibility Model to ensure that there is no gap in the services needed to run the operations smoothly. The cloud deployments by default doesn't take over all the responsibilities and ownership necessary to run business digitally. The Cloud Responsibility Model below gives you an out of box responsibility framework for a typical deployment model types. It is a leading practice to start with out of box shared responsibility model but build a comprehensive Responsibility Assignment Matrix aka RACI with the Service Provider before going live in the new Cloud and/or Outsourcing Managed Services Model.
Cloud Responsibility Model