Other clouds are available....
You can also run SAP Products on AWS, Azure etc... if you want an alternative to on premise appliances.
SAP has updated the cloud edition of its in-memory S/4HANA ERP suite and tacked the word “Cloud” onto the end of its name. The new S/4HANA CLOUD is a little mis-named as the previous version of S/4HANA could already run in the cloud (since 2015, thanks for asking) and SAP would happily sell you a subscription to the software, …
Can you run SAP S/4 HANA CLOUD as a service in the cloud? I have never seen anything like "pay $50 per user per month and get SAP FICO S/4 access." The Salesforce.com type model. I have seen SAP offering the option of running SAP on someone else's IaaS cloud. I have seen SAP talking about all of their acquired SaaS companies (SuccessFactors, Ariba, Concur, Fieldglass, etc) as cloud, but that is not SAP proper... just companies SAP happened to buy.