If I backup my iPhone, will my bakery story data still be there?

So in a few days I have to go get my iPhone 4S replaced because its broken. I did both an iCloud back up and a back up on my laptop. The only thing I'm considered about is my bakery story. I'm on level 35, and i really don't want to lose any of that data. Will I have to start from scratch or will the back ups cover it all? I've read a bunch of other answers, but I'm not really sure.

Yes. Your game saves into a folder offline.

Bakery story, treasure story, city story, etc. All come from teamlava.com. To update your progress on another device, you need to send an email to support@teamlava.com asking them to transfer your progress after you get your next device. Be sure to keep your old phone until your progress is updated!

Of course, backup means backup every users data.