By going to www.tunemymusic.com you can easily transfer playlists to other music services. Please note that all music services do not have all the same songs, so check the playlist after importing and check whether you have the correct songs in the playlist.

When you use this service, you select your source (Spotify) and paste the link to the playlist (which you can find in the PDF information file), then you choose which service you want to transfer the playlist to.

Read more about how to transfer playlists here.