Problems with restoring database

Hi all

Im trying to restore my database from a different website with version 2.7, to a new one (version 2.81), with of course a new URL. Anyway, i have uploaded the DB-backap to the new database for my new website, but when i enter the wordpress admin-area and click on “pages” or “links” or whatever, the screen turns white, with a wordpress-messege in the middle like this; (Look below), and in the URL field i can see the domain for my old website (where my db-backup comes from):

“No Upgrade Required”

Your WordPress database is already up-to-date!

“Continue” (clickable)

When i then click contiue, i get forwarded to the main page for my previous website.

Someone who can help me with this problem?

Kind regards
Christopher