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Segment and Geographic Information - Summary of Revenue and Profit Attributable to Our Operating Segments (Parenthetical) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Segment Reporting Revenue Reconciling Item [Line Items]      
Depreciation and amortization $ 85,239 $ 80,817 $ 77,824
Unallocated      
Segment Reporting Revenue Reconciling Item [Line Items]      
Depreciation and amortization 21,000 19,400 20,600
Software Products | Operating Segments      
Segment Reporting Revenue Reconciling Item [Line Items]      
Depreciation and amortization 4,000 4,200 4,600
Professional Services | Operating Segments      
Segment Reporting Revenue Reconciling Item [Line Items]      
Depreciation and amortization $ 1,100 $ 1,100 $ 1,400