You are generally correct tho I did find other definitions of the word where the order was reversed. I know no one cares so I leave you with tid-bit.
"Historically, the meaning of the word decimate is ‘kill one in every ten of (a group of people)’. This sense has been more or less totally superseded by the later, more general sense ‘kill, destroy, or remove a large proportion of’, as in the virus has decimated the population. Some traditionalists argue that this is incorrect, but it is clear that it is now part of standard English."