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Share-Based Compensation - Equity Incentive Plan Activity (Detail) - $ / shares
shares in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock Options, Total Options, Outstanding at September 30, 2023 [1] 1,641    
Stock Options, Total Options, Granted [1] 174    
Stock Options, Total Options, Exercised / Vested [1] (428)    
Stock Options, Total Options, Cancelled / Forfeited [1] (3)    
Stock Options, Total Options, Outstanding at September 30, 2024 [1] 1,384 [2] 1,641  
Stock Options, Total Options, Exercisable at September 30, 2024 [1] 1,011    
Stock Options, Weighted Average Exercise Price, Outstanding at September 30, 2023 $ 52.27    
Stock Options, Weighted Average Exercise Price, Granted 74.4    
Stock Options, Weighted Average Exercise Price, Exercised / Vested 46.98    
Stock Options, Weighted Average Exercise Price, Cancelled / Forfeited 74.4    
Stock Options, Weighted Average Exercise Price, Outstanding at September 30, 2024 56.65 [2] $ 52.27  
Stock Options, Weighted Average Exercise Price, Exercisable at September 30, 2024 $ 51.63    
Restricted Stock Units [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Restricted Stock / Units, Outstanding at September 30, 2023 [3] 938    
Restricted Stock / Units, Granted [3] 242    
Restricted Stock / Units, Performance-based adjustment [3],[4] 63    
Restricted Stock / Units, Exercised / Vested [3] (478)    
Restricted Stock / Units, Cancelled / Forfeited [3] (42)    
Restricted Stock / Units, Outstanding at September 30, 2024 [3] 723 [2] 938  
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Outstanding at September 30, 2023 $ 54.45    
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Granted 75.98 $ 73.68 $ 58.72
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Performance-based adjustment [4] 67.27    
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Exercised / Vested 42.32    
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Cancelled / Forfeited 63.67    
Restricted Stock / Units, Weighted Average Grant Date Fair Value, Outstanding at September 30, 2024 $ 70.25 [2] $ 54.45  
[1] Unvested stock options were approximately 373,000 and 469,000 at September 30, 2024 and 2023 and their weighted average grant date fair values were $70.24 and $57.92, respectively.
[2] Stock options outstanding include options vested and expected to vest in the future and have a weighted average remaining contractual life of 5.88 years.
[3] The number granted represents the number of shares issuable upon vesting of time-based restricted stock units and performance-based restricted stock units, assuming the Company performs at the target performance level in each year of the three-year performance period.
[4] Represents the net incremental number of shares issuable upon vesting of performance-based restricted stock units based on the Company’s actual financial performance metrics for fiscal 2024.