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Goodwill and Intangible Assets, Net - Details of Total Goodwill (Parenthetical) (Detail) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2021 | Sep. 30, 2020
Goodwill [Line Items] |  |  |  |
Goodwill resulting from acquisitions | $ 104,151 | [1] | $ 118,628 | [2]
Value of intangible asset | 259,032 |  | 296,334 |
Core Technology [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset | 118,730 |  | 161,280 |
Customer Relationships [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset | 133,038 |  | 124,905 |
Openet [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Goodwill resulting from acquisitions |  |  | 110,347 |
Openet [Member] | Trademark [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset |  |  | $ 2,594 |
Useful life of intangible assets |  |  | 2 years |
Openet [Member] | Core Technology [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset |  |  | $ 53,614 |
Useful life of intangible assets |  |  | 5 years |
Openet [Member] | Customer Relationships [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset |  |  | $ 40,409 |
Useful life of intangible assets |  |  | 8 years |
Sourced [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Goodwill resulting from acquisitions | 80,055 |  |  |
Sourced [Member] | Core Technology [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset | $ 3,056 |  |  |
Useful life of intangible assets | 3 years |  |  |
Sourced [Member] | Customer Relationships [Member] |  |  |  |
Goodwill [Line Items] |  |  |  |
Value of intangible asset | $ 18,211 |  |  |
Useful life of intangible assets | 7 years |  |  |
[1] | Mainly relates to the acquisition of Sourced. In allocating the total preliminary purchase price for Sourced, based on estimated fair values, the Company recorded $80,055 of goodwill, $18,211 of customer relationships to be amortized over approximately seven years and $3,056 of core technology to be amortized over three years.
[2] | Mainly relates to the acquisition of Openet. In allocating the total purchase price for Openet, based on estimated fair values, the Company recorded $110,347 of goodwill, $40,409 of customer relationships to be amortized over approximately eight years, $53,614 of core technology to be amortized over five years and $2,594 of trademark to be amortized over two years.

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- Definition Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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- Definition Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 926 -SubTopic 20 -Section 50 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=120154696&loc=d3e54445-107959 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -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 of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267 + Details
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