Hi Peter
I had exactly the same on a hall floor - approx 10 years of polish on polish, exactly the same thickness. I took it on as someone started in one corner and then quit. Neat stripper and a scraper and it came off like wallpaper and took ages - I mean AGES! I said to myself if I did one like it again I would hire one of those sanding machines that were at the cleaning show (if you saw that). If not, long job, charge loads and get scraping. Remember you are not going to the bottom of the polish, you are trying to get to a softer layer of the polish so unless you attack it like a hooligan you should be fine. I scraped the top layer, then stripped, black pad, stripped again.
Good luck man!
Tim