sharepoint server – Moving a subsite with current workflows in a new site collection

I am basically trying to promote a subsite to its own site collection on a different content database, but all the data and workflows that are running must be preserved. Currently, I have a SharePoint 2013 environment with a single Web application, a single site collection, and then several subsites. I now have to move these subsites to their own site collection, but I have several lists of 2013 designer workflow running. The status / stage of these workflows must be preserved. Is it possible? I've seen a few people mention backup / restore, then delete what is not necessary. But does this allow you to keep current workflows or only copy workflows to the new site collection?