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Goodwill and Intangible Assets, Net - Details of Total Goodwill (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2021 | Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract] |  |  |  |  |
Goodwill, Beginning Balance |  | $ 2,578,645 |  | $ 2,462,835 |
Goodwill resulting from acquisitions |  | 104,151 | [1] | 118,628 | [2]
Decrease in goodwill as a result of divestiture | [3] | (61,396) |  |  |
Other |  | 1,244 |  | (2,818) |
Goodwill, Ending Balance |  | $ 2,622,644 |  | $ 2,578,645 |
[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.
[3] | Relates to the divestiture of OpenMarket completed on December 31, 2020, please see also Note 3.

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