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Earnings Per Share - Antidilutive Securities (Details) - shares
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Restricted Class A Common Stock    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of earnings per share (shares)   18,869
Class B Common Stock    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of earnings per share (shares) 10,222,946 11,668,199
Out-of-the-money Options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of earnings per share (shares) 5,444,557 1,251,600
Stock Options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities excluded from computation of earnings per share (shares) 606,942 1,212,584