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Stock-Based Compensation - Employee Stock Purchase Plan (Details) - shares
9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Shares issued under employee stock purchase plan (in shares) 58,124 63,934
Employee Stock    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Purchase price of common stock (as a percent) 85.00%