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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