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Goodwill and Intangible Assets, Net - Details Regarding Total Definite-Lived Purchased Intangible Assets (Detail) - USD ($) $ in Thousands | 12 Months Ended
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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

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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