[Zeke]

I've done this and mineral spirits worked well in my case. Depends entirely on what finish is on the existing floor. If alcohol makes the finish soft, it's a shellac. Lacquer thinner will make waterborne finishes soft. When I say 'soft', I mean it will damage the finish. Mineral spirits won't hurt an oil based finish but can leave a smell.

It could get expensive using Goo Gone, but it's worth a lick in the closet and it's good stuff to have on hand anyway.

Scraping would be my last choice due to scratching potential. But, when you get the glue off you'll want to clean and wax the floors with a power buffer. Plenty of YouTubes on that. That will polish and even out the sheen.