If you have a Facebook account, you will be able to sync your progress within the Facebook sign-in option. 
 
You can connect or disconnect from Facebook in the settings of the game. Players can also select the Facebook icon in the center top of the screen. 

To set up and sync your Facebook Account the first time please, open the Settings Menu by tapping on the Gear Icon from the Main Menu. You will see an option to Sign in with Facebook.

This option is available for both Android and iOS 

Note: Connecting to Facebook will only sync your level and brilliance. Since coins and hints are device specific, it will not sync these items.