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Goodwill and Acquired Intangible Assets - Schedule of Changes in Goodwill by Reportable Segment (Details) - USD ($) $ in Thousands |  | 12 Months Ended
--- | --- | ---
Apr. 29, 2022 | Sep. 30, 2022 | Sep. 30, 2021
Goodwill [Line Items] |  |  |
Balance, beginning of period |  | $ 2,191,887 | $ 1,625,786
Foreign currency translation adjustments |  | (46,903) | 1,900
Balance, end of period |  | 2,353,654 | 2,191,887
Divestiture of business |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 32,992 |
Intland Software |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired | $ 240,900 | 240,971 |
Other Acquisitions |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 691 | 581
Arena Acquisition |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  |  | 563,620
Software Products |  |  |
Goodwill [Line Items] |  |  |
Balance, beginning of period |  | 2,148,968 | 1,583,316
Foreign currency translation adjustments |  | (46,611) | 1,851
Balance, end of period |  | 2,344,019 | 2,148,968
Software Products | Divestiture of business |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 0 |
Software Products | Intland Software |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 240,971 |
Software Products | Other Acquisitions |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 691 | 181
Software Products | Arena Acquisition |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  |  | 563,620
Professional Services |  |  |
Goodwill [Line Items] |  |  |
Balance, beginning of period |  | 42,919 | 42,470
Foreign currency translation adjustments |  | (292) | 49
Balance, end of period |  | 9,635 | 42,919
Professional Services | Divestiture of business |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | (32,992) |
Professional Services | Intland Software |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | 0 |
Professional Services | Other Acquisitions |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  | $ 0 | 400
Professional Services | Arena Acquisition |  |  |
Goodwill [Line Items] |  |  |
Goodwill, acquired |  |  | $ 0

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