Restore to new host, same domain name?

Hi, I need to restore a complete website to new hosting, after transferring in the (same) domain name to the new hosts.

I cannot access the old website, so cannot clone or migrate (?)

Once the (same) domain name is transferred to the (new) host can I just upload my backup files and do a straight restore?

The sample instructions I have read seem to refer to Migrator, or other scenarios, and I’m getting confused..

Advice appreciated, thanks!