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Stock-Based Compensation - Summary of Activity Relating to Restricted Units (Details)
$ / shares in Units, $ in Millions
3 Months Ended
Dec. 31, 2021
USD ($)
$ / shares
shares
Number of Shares Underlying Restricted Units  
Closing market value of common stock (in dollars per share) | $ / shares $ 55.32
Number of Shares Underlying Restricted Units — Performance-Based Awards  
Number of Shares Underlying Restricted Units  
Beginning balance, outstanding (in shares) 2,463,921
Granted (in shares) 880,362
Earned/released (in shares) (1,760,724)
Forfeited (in shares) (5,601)
Ending balance, outstanding (in shares) 1,577,958
Weighted average remaining recognition period of outstanding Restricted Units 1 year 2 months 12 days
Unrecognized stock-based compensation expense of outstanding Restricted Units | $ $ 21.1
Aggregate intrinsic value of outstanding Restricted Units | $ $ 87.3
Number of Shares Underlying Restricted Units — Time-Based Awards  
Number of Shares Underlying Restricted Units  
Beginning balance, outstanding (in shares) 4,655,825
Granted (in shares) 1,796,045
Earned/released (in shares) (2,110,257)
Forfeited (in shares) (34,455)
Ending balance, outstanding (in shares) 4,307,158
Weighted average remaining recognition period of outstanding Restricted Units 1 year 9 months 18 days
Unrecognized stock-based compensation expense of outstanding Restricted Units | $ $ 122.3
Aggregate intrinsic value of outstanding Restricted Units | $ $ 238.3
Performance-based restricted units  
Number of Shares Underlying Restricted Units  
Granted (in shares) 0