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Stock Option and Incentive Plan - Additional Information (Detail) - USD ($)
shares in Thousands, $ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Awards granted under the Equity Incentive Plan        
Maximum number of shares authorized to be granted 70,550 70,550 70,550 67,550
Stock option awards, term 10 years      
Total intrinsic value of options exercised $ 33,096 $ 27,023 $ 31,220  
Aggregate intrinsic value of stock options outstanding 40,985      
Aggregate intrinsic value of stock options exercisable 29,208      
Unrecognized compensation expense $ 65,513      
Unrecognized compensation expense period for recognition 1 year      
Restricted Stock [Member]        
Awards granted under the Equity Incentive Plan        
Value of restricted shares vested $ 40,615 25,400 25,520  
Restricted Stock Units (RSUs) [Member]        
Awards granted under the Equity Incentive Plan        
Value of restricted shares vested $ 5,891 $ 3,282 $ 3,207  
Minimum [Member]        
Awards granted under the Equity Incentive Plan        
Awards granted under the Equity Incentive Plan, vesting period 3 years      
Maximum [Member]        
Awards granted under the Equity Incentive Plan        
Awards granted under the Equity Incentive Plan, vesting period 4 years