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Net (Loss) Income per Share - Anti-dilutive Securities (Details) - shares
9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Restricted Stock Units (RSUs)    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Anti-dilutive securities excluded from computation of diluted earnings per share (in shares) 334,467 59,513