Original: They have won four Grammy Awards : Best Alternative Album for Dookie , Best Rock Album for American Idiot , Record of the Year for '' Boulevard of Broken Dreams '' , and Best Rock Album for the second time for 21st Century Breakdown .
Simplified: They also have won three Grammy Awards , Best Alternative Album for Dookie , Best Rock Album for American Idiot , and Record of the Year for the song '' Boulevard of Broken Dreams '' .