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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Segment revenues:        
Total revenues $ 498,735 $ 433,809 $ 938,703 $ 815,868
Segment operating expense (253,087) (238,968) (513,527) (469,668)
Operating income 245,648 194,841 425,176 346,200
Unallocated share-based compensation expense (41,704) (35,448) (82,358) (67,022)
Unallocated amortization expense 0 (275) 0 (550)
Unallocated interest expense (31,378) (26,093) (60,866) (50,255)
Unallocated other expense, net (1,254) 3,986 (1,165) 7,379
Income before income taxes 213,016 172,734 363,145 303,324
Depreciation expense 2,476 2,222 5,071 3,913
Operating Segments        
Segment revenues:        
Segment operating expense (211,383) (203,245) (431,169) (402,096)
Operating income 287,352 230,564 507,534 413,772
Unallocated Corporate Expenses        
Segment revenues:        
Segment operating expense (40,942) (45,806) (85,273) (86,374)
Operating income (40,942) (45,806) (85,273) (86,374)
Depreciation expense 18 16 36 28
Scores        
Segment revenues:        
Total revenues 297,039 236,885 532,714 428,997
Scores | Operating Segments        
Segment revenues:        
Total revenues 297,039 236,885 532,714 428,997
Segment operating expense (32,069) (24,677) (63,973) (48,135)
Operating income 264,970 212,208 468,741 380,862
Depreciation expense 118 107 243 188
Software        
Segment revenues:        
Total revenues 201,696 196,924 405,989 386,871
Software | Operating Segments        
Segment revenues:        
Total revenues 201,696 196,924 405,989 386,871
Segment operating expense (138,372) (132,762) (281,923) (267,587)
Operating income 63,324 64,162 124,066 119,284
Depreciation expense 2,340 2,099 4,792 3,697
Professional services        
Segment revenues:        
Total revenues 17,870 19,744 36,152 41,023
Professional services | Operating Segments        
Segment revenues:        
Total revenues     36,152 41,023
Professional services | Scores | Operating Segments        
Segment revenues:        
Total revenues 0 0 0 0
Professional services | Software | Operating Segments        
Segment revenues:        
Total revenues 17,870 19,744 36,152 41,023
On-premises and SaaS software        
Segment revenues:        
Total revenues 183,826 177,180 369,837 345,848
On-premises and SaaS software | Operating Segments        
Segment revenues:        
Total revenues     369,837 345,848
On-premises and SaaS software | Scores | Operating Segments        
Segment revenues:        
Total revenues 0 0 0 0
On-premises and SaaS software | Software        
Segment revenues:        
Total revenues 183,826 177,180 369,837 345,848
On-premises and SaaS software | Software | Operating Segments        
Segment revenues:        
Total revenues 183,826 177,180 369,837 345,848
Scores        
Segment revenues:        
Total revenues 297,039 236,885 532,714 428,997
Scores | Operating Segments        
Segment revenues:        
Total revenues     532,714 428,997
Scores | Scores | Operating Segments        
Segment revenues:        
Total revenues 297,039 236,885 532,714 428,997
Scores | Software | Operating Segments        
Segment revenues:        
Total revenues $ 0 $ 0 $ 0 $ 0