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Goodwill and Intangible Assets - Schedule of Changes in Goodwill by Reportable Segments (Details)
$ in Thousands
6 Months Ended
Mar. 31, 2022
USD ($)
Goodwill [Line Items]  
Balance, October 1, 2021 $ 2,191,887
Acquisitions 691
Foreign currency translation adjustment (6,422)
Balance, March 31, 2022 2,186,156
Software Products  
Goodwill [Line Items]  
Balance, October 1, 2021 2,148,968
Acquisitions 691
Foreign currency translation adjustment (6,296)
Balance, March 31, 2022 2,143,363
Professional Services  
Goodwill [Line Items]  
Balance, October 1, 2021 42,919
Acquisitions 0
Foreign currency translation adjustment (126)
Balance, March 31, 2022 $ 42,793