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Segment Information - Summary of Segment Information (Details)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
USD ($)
Segment
Sep. 30, 2022
USD ($)
Sep. 30, 2021
USD ($)
Segment Reporting [Abstract]      
Number of reportable segments | Segment 2    
Segment revenues:      
Revenue $ 1,513,557 $ 1,377,270 $ 1,316,536
Segment operating expense (870,727) (834,856) (811,047)
Operating income 642,830 542,414 505,489
Unallocated share-based compensation expense (123,847) (115,355) (112,457)
Unallocated amortization expense (1,100) (2,061) (3,255)
Unallocated restructuring and impairment charges 0 0 (7,957)
Unallocated interest expense, net (95,546) (68,967) (40,092)
Unallocated other income (expense), net 6,340 (2,138) 7,745
Depreciation expense 10,106 15,242 20,319
Gain (Loss) on Disposition of Business 1,941 0 100,139
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 553,624 471,309 473,142
Software      
Segment revenues:      
Revenue 739,729 670,627 662,389
Scores      
Segment revenues:      
Revenue 773,828 706,643 654,147
Operating Segments      
Segment revenues:      
Revenue 1,513,557 1,377,270 1,316,536
Segment operating expense (747,721) (717,440) (787,517)
Operating income 765,836 659,830 529,019
Operating Segments | Software      
Segment revenues:      
Revenue 739,729 670,627 662,389
Segment operating expense (498,538) (487,505) (555,288)
Operating income 241,191 183,122 107,101
Depreciation expense 9,550 14,412 19,505
Operating Segments | Scores      
Segment revenues:      
Revenue 773,828 706,643 654,147
Segment operating expense (92,757) (87,288) (90,538)
Operating income 681,071 619,355 563,609
Depreciation expense 485 723 667
Unallocated Corporate Expenses      
Segment revenues:      
Segment operating expense (156,426) (142,647) (141,691)
Operating income (156,426) (142,647) (141,691)
Depreciation expense 71 107 147
On-premises and SaaS software      
Segment revenues:      
Revenue 640,182 564,751 517,888
On-premises and SaaS software | Operating Segments      
Segment revenues:      
Revenue 640,182 564,751 517,888
On-premises and SaaS software | Operating Segments | Software      
Segment revenues:      
Revenue 640,182 564,751 517,888
On-premises and SaaS software | Operating Segments | Scores      
Segment revenues:      
Revenue 0 0 0
Professional services      
Segment revenues:      
Revenue 99,547 105,876 144,501
Professional services | Operating Segments      
Segment revenues:      
Revenue 99,547 105,876 144,501
Professional services | Operating Segments | Software      
Segment revenues:      
Revenue 99,547 105,876 144,501
Professional services | Operating Segments | Scores      
Segment revenues:      
Revenue 0 0 0
Scores Products      
Segment revenues:      
Revenue 773,828 706,643 654,147
Scores Products | Operating Segments      
Segment revenues:      
Revenue 773,828 706,643 654,147
Scores Products | Operating Segments | Software      
Segment revenues:      
Revenue 0 0 0
Scores Products | Operating Segments | Scores      
Segment revenues:      
Revenue $ 773,828 $ 706,643 $ 654,147