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Goodwill and Intangible Assets - Schedule of Changes in Goodwill by Reportable Segments (Details) - USD ($) $ in Thousands |  | 6 Months Ended
--- | --- | ---
Jan. 15, 2021 | Mar. 31, 2021
Goodwill [Line Items] |  |
Balance, October 1, 2020 |  | $ 1,625,786
Foreign currency translation adjustment |  | 4,226
Balance, March 31, 2021 |  | 2,193,632
Arena Solutions |  |
Goodwill [Line Items] |  |
Goodwill, acquired | $ 562,700 | 562,657
Other Acquisitions |  |
Goodwill [Line Items] |  |
Goodwill, acquired |  | 963
Software Products |  |
Goodwill [Line Items] |  |
Balance, October 1, 2020 |  | 1,583,316
Foreign currency translation adjustment |  | 4,116
Balance, March 31, 2021 |  | 2,151,052
Software Products | Arena Solutions |  |
Goodwill [Line Items] |  |
Goodwill, acquired |  | 562,657
Software Products | Other Acquisitions |  |
Goodwill [Line Items] |  |
Goodwill, acquired |  | 963
Professional Services |  |
Goodwill [Line Items] |  |
Balance, October 1, 2020 |  | 42,470
Foreign currency translation adjustment |  | 110
Balance, March 31, 2021 |  | 42,580
Professional Services | Arena Solutions |  |
Goodwill [Line Items] |  |
Goodwill, acquired |  | 0
Professional Services | Other Acquisitions |  |
Goodwill [Line Items] |  |
Goodwill, acquired |  | $ 0

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