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Share-Based Compensation - Weighted Average Grant Date Fair Value of Restricted Stock Units (Details) - $ / shares
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Performance-Based Restricted Stock Units      
Schedule Of Share Based Compensation, Restricted Stock Units Award, Grant Date Fair Value of Units Granted [Line Items]      
Granted, stock units weighted average grant date fair value (USD per share) $ 227.11 $ 242.39 $ 216.39
Time-Vested Restricted Stock Units      
Schedule Of Share Based Compensation, Restricted Stock Units Award, Grant Date Fair Value of Units Granted [Line Items]      
Granted, stock units weighted average grant date fair value (USD per share) $ 231.58 $ 239.39 $ 223.60