When your score is higher than 1,500 points during the session, your score will be added to the in-game leaderboard found in the Krusty Krab main menu. 

If you see the “Enter high score” button appearing on the results screen, tap the button and enter your initials to get ranked.  You can see who is ranked in the leaderboards on your device only by tapping the Trophy picture in the frame on the wall in the Krusty Krab main menu.