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Income Taxes - Additional Information (Detail) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Income Taxes [Line Items]        
Net decrease in valuation allowances $ 8,682 $ 3,905    
Tax credits, net capital and operating loss carryforwards 516,270 756,414    
Tax credits, net capital and operating loss carryforwards having expiration date $ 104,079 $ 170,430    
Tax Credit net capital and operating loss Carryforwards Expiration Dates Through 2042 for $104,079 tax credit, net capital and operating loss carryforwards Through 2041 for $170,430 tax credit, net capital and operating loss carryforwards    
Gross unrecognized tax benefits $ 213,031 $ 195,196 $ 168,186 $ 169,322
Accrued income taxes payable for interest and penalties relating to unrecognized tax benefits 35,471 25,011    
Interest and penalties recognized in the statements of income, relating to unrecognized tax benefits (net of reversals) 10,460 9,199    
Unrecognized deferred tax liability for undistributed earnings of foreign subsidiary due to indefinitely reinvestment 59,000 $ 28,795    
Maximum [Member]        
Income Taxes [Line Items]        
Expected decrease in unrecognized tax benefits within next 12 months due to lapse of statutes of limitations $ 2,636      
GUERNSEY        
Income Taxes [Line Items]        
Statutory Guernsey tax rate 0.00% 0.00% 0.00%  
Prepaid Expenses and Other Current Assets [Member]        
Income Taxes [Line Items]        
Tax receivable balance $ 56,959 $ 53,925