My Honest opinion is,,,,, use another program.
I am not familiar with the Backup Utility in Windows to answer your question fully.
According to MS, "You can restore your PC back to its original state or onto another PC."
But, my recommendation for what you are referring to is Acronis (Payware,but much more user friendly), still need to learn how to use it to it's full potential though.
or
DIXML (freeware, but is for a more advanced user), but once you know how, it's a great tool to use.
BartPE and DIXML go hand in hand for system restore
However, Acronis (has it's issues, yes) is more powerful than DIXML ofcourse. Highly Recommended.
Both of these tools have the feature of being able to open the backup and extract individual files and folders from it.
Acronis though, has the ability (if it still remains) to add files to a backup once mounted as a drive letter. (I don't recommend doing it though). Could corrupt the backup, as I have done that a couple years ago.
Both of these tools will allow you to restore your current PC.
However, DIXML will restore to a new PC, but could have driver conflicts
Acronis has (for a price) Universal Restore (which hasn't always worked [in the past] unfortunately) but that issue is few and far between.
It depends on the model laptop/desktop and the hardware it uses. The issue I am talking about is that some IBM Thinkpads would not restore a base image at all using Acronis unless you made an image of that system. This may have been resolved though.