Goodwill and Intangible Assets - Schedule of Changes in Goodwill by Reportable Segments (Details) $ in Thousands	9 Months Ended
Jun. 30, 2022 USD ($)
Goodwill [Line Items]
Balance, October 1, 2021	$ 2,191,887
Foreign currency translation adjustment	16,924
Balance, June 30, 2022	2,382,680
Acquisition
Goodwill [Line Items]
Goodwill, acquired	240,709
Divestiture of Business
Goodwill [Line Items]
Goodwill, acquired	32,992
Software Products
Goodwill [Line Items]
Balance, October 1, 2021	2,148,968
Foreign currency translation adjustment	16,755
Balance, June 30, 2022	2,372,922
Software Products \| Acquisition
Goodwill [Line Items]
Goodwill, acquired	240,709
Software Products \| Divestiture of Business
Goodwill [Line Items]
Goodwill, acquired	0
Professional Services
Goodwill [Line Items]
Balance, October 1, 2021	42,919
Foreign currency translation adjustment	169
Balance, June 30, 2022	9,758
Professional Services \| Acquisition
Goodwill [Line Items]
Goodwill, acquired	0
Professional Services \| Divestiture of Business
Goodwill [Line Items]
Goodwill, acquired	$ (32,992)

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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