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Goodwill and Intangible Assets, Net - Details Regarding Total Definite-Lived Purchased Intangible Assets (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Finite-Lived Intangible Assets [Line Items]    
Gross $ 1,181,850 $ 1,054,766
Accumulated Amortization (900,323) (802,249)
Total 281,527 252,517
Core Technology [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross 604,673 531,669
Accumulated Amortization (451,169) (398,898)
Total $ 153,504 $ 132,771
Core Technology [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 2 years 2 years
Core Technology [Member] | Maximum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 8 years 8 years
Customer Relationships [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross $ 491,639 $ 439,435
Accumulated Amortization (370,658) (328,747)
Total $ 120,981 $ 110,688
Customer Relationships [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 1 year 3 years
Customer Relationships [Member] | Maximum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 15 years 15 years
Intellectual Property Rights and Purchased Computer Software [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross $ 51,996 $ 51,996
Accumulated Amortization (51,996) (51,996)
Other [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross 33,542 31,666
Accumulated Amortization (26,500) (22,608)
Total $ 7,042 $ 9,058
Other [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 2 years 3 years
Other [Member] | Maximum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Estimated Useful Life 10 years 10 years