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Stock-Based Employee Benefit Plans - Summary of ESPP activities (Details) - $ / shares
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
ESPP, Discount from Market Price, Purchase Date 15.00%  
Employee Stock Purchase Plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
ESPP, Discount from Market Price, Purchase Date 85.00%  
ESPP, Shares Issued in Period 32,528 42,402
ESPP, Per Share Weighted Average Price of Shares Purchased $ 393.95 $ 389.61