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Share-Based Compensation - Weighted Average Grant Date Fair Value of Restricted Stock Units (Details) - $ / shares
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Performance-Based      
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 (in USD per share) $ 223.60 $ 227.11 $ 242.39
Time-Vested      
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 (in USD per share) $ 231.32 $ 231.58 $ 239.39