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Stock Option and Incentive Plan - Additional Information (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares authorized to be granted   67,550,000 62,300,000
Stock option awards, term   10 years  
Total intrinsic value of options exercised $ 38,025 $ 47,321 $ 65,292
Value of restricted shares vested 35,801 36,922 39,490
Aggregate intrinsic value of stock options outstanding 75,177    
Aggregate intrinsic value of stock options exercisable 49,058    
Total income tax benefit recognized for stock-based compensation 6,047 $ 4,754 $ 4,503
Unrecognized compensation expense related to unvested stock options and unvested restricted shares $ 34,975    
Unrecognized compensation expense weighted average period of recognition 1 year    
Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option awards, vesting period   3 years  
Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option awards, vesting period   4 years