I lived in Denmark for 5 years and yes, it has been like that. However, all the paperwork you will need to handle will still come in the official language, not

I lived in Denmark for 5 years and yes, it has been like that. However, all the paperwork you will need to handle will still come in the official language, not in English. All contracts and legal documents will be in that language as well. So not knowing at least the basics will handicap you severely. I have learned enough of Danish to be able to read the paperwork and do some basic writen communication. That's really the minimum to get you by. Spoken Danish was a bit too much - the saying that Danish is not a language but a throat disease is not far from the truth!