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Segment Information - Summary of Segment Information (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Segment revenues:      
Revenue $ 1,316,536 $ 1,294,562 $ 1,160,083
Segment operating expense (811,047) (998,593) (906,535)
Operating income 505,489 295,969 253,548
Unallocated share-based compensation expense (112,457) (93,681) (82,973)
Unallocated amortization expense (3,255) (4,993) (6,126)
Unallocated restructuring and impairment charges (7,957) (45,029) 0
Unallocated interest expense, net (40,092) (42,177) (39,752)
Unallocated other income (expense), net 7,745 3,208 2,276
Depreciation expense 20,319 23,453 24,204
Gain (Loss) on Disposition of Business 100,139 0 0
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 473,142 257,000 216,072
Software      
Segment revenues:      
Revenue 662,389 766,015 738,906
Scores      
Segment revenues:      
Revenue 654,147 528,547 421,177
Operating Segments      
Segment revenues:      
Revenue 1,316,536 1,294,562  
Segment operating expense (787,517) (854,890) (817,436)
Operating income 529,019 439,672 342,647
Operating Segments | Software      
Segment revenues:      
Revenue 662,389 766,015 738,906
Segment operating expense (557,242) (635,949) (612,860)
Operating income 105,147 130,066 126,046
Depreciation expense 19,505 22,418 22,802
Operating Segments | Scores      
Segment revenues:      
Revenue 654,147 528,547 421,177
Segment operating expense (93,463) (74,237) (59,821)
Operating income 560,684 454,310 361,356
Depreciation expense 667 617 498
Unallocated Corporate Expenses      
Segment revenues:      
Segment operating expense (136,812) (144,704) (144,755)
Operating income (136,812) (144,704) (144,755)
Depreciation expense 147 418 904
On-premises and SaaS software      
Segment revenues:      
Revenue 517,888 584,576 556,968
On-premises and SaaS software | Operating Segments      
Segment revenues:      
Revenue 517,888 584,576  
On-premises and SaaS software | Operating Segments | Software      
Segment revenues:      
Revenue 517,888 584,576 556,968
On-premises and SaaS software | Operating Segments | Scores      
Segment revenues:      
Revenue 0 0 0
Professional services      
Segment revenues:      
Revenue 144,501 181,439 181,938
Professional services | Operating Segments      
Segment revenues:      
Revenue 144,501 181,439  
Professional services | Operating Segments | Software      
Segment revenues:      
Revenue 144,501 181,439 181,938
Professional services | Operating Segments | Scores      
Segment revenues:      
Revenue 0 0 0
Scores Products      
Segment revenues:      
Revenue 654,147 528,547 421,177
Scores Products | Operating Segments      
Segment revenues:      
Revenue 654,147 528,547  
Scores Products | Operating Segments | Software      
Segment revenues:      
Revenue 0 0 0
Scores Products | Operating Segments | Scores      
Segment revenues:      
Revenue $ 654,147 $ 528,547 $ 421,177