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Goodwill and Intangible Assets, Net - Details Regarding Total Definite-Lived Purchased Intangible Assets (Detail) - USD ($) $ in Thousands | Sep. 30, 2018 | Sep. 30, 2017
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Finite-Lived Intangible Assets [Line Items] |  |
Gross | $ 1,380,682 | $ 1,187,507
Accumulated Amortization | (1,115,433) | (1,010,181)
Total | 265,249 | 177,326
Core Technology [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross | 721,384 | 604,673
Accumulated Amortization | (576,936) | (513,501)
Total | 144,448 | 91,172
Customer Relationships [Member] |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross | 563,656 | 497,296
Accumulated Amortization | (453,137) | (414,654)
Total | 110,519 | 82,642
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 | 43,646 | 33,542
Accumulated Amortization | (33,364) | (30,030)
Total | $ 10,282 | $ 3,512

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