You can link your saved game to your Google Play Games or Game Center account.
Backing up your progress:
Your progress will be automatically saved to our servers when you play the game while your device is connected to the internet. If you are online and signed into a Google Play Games (Android) or Game Center (iOS) account, this will link your Google Play Games of Game Center login to your Sonic Dash account.
Restore your progress:
On your new device, your progress should be automatically restored once you sign into the game with your Google Play Games or GameCenter account.