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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Segment revenues:        
Total revenues $ 447,849 $ 398,688 $ 1,263,717 $ 1,123,824
Segment operating expense (257,598) (221,657) (727,266) (646,693)
Operating income 190,251 177,031 536,451 477,131
Unallocated share-based compensation expense (42,435) (32,995) (109,457) (89,750)
Unallocated amortization expense (275) (275) (825) (825)
Gain on product line asset sale       1,941
Unallocated interest expense (26,868) (24,545) (77,123) (71,242)
Unallocated other income, net 3,935 5,301 11,314 7,270
Income before income taxes 167,318 157,787 470,642 413,159
Depreciation expense 2,700 2,216 6,613 8,244
Operating Segments        
Segment revenues:        
Segment operating expense (214,888) (188,387) (616,984) (558,059)
Operating income 232,961 210,301 646,733 565,765
Unallocated Corporate Expenses        
Segment revenues:        
Segment operating expense (50,368) (42,347) (136,742) (119,612)
Operating income (50,368) (42,347) (136,742) (119,612)
Depreciation expense 18 16 46 58
Scores        
Segment revenues:        
Total revenues 241,450 201,778 670,447 578,273
Scores | Operating Segments        
Segment revenues:        
Total revenues 241,450 201,778 670,447 578,273
Segment operating expense (28,461) (24,779) (76,596) (69,177)
Operating income 212,989 176,999 593,851 509,096
Depreciation expense 129 107 317 396
Software        
Segment revenues:        
Total revenues 206,399 196,910 593,270 545,551
Software | Operating Segments        
Segment revenues:        
Total revenues 206,399 196,910 593,270 545,551
Segment operating expense (136,059) (121,261) (403,646) (369,270)
Operating income 70,340 75,649 189,624 176,281
Depreciation expense 2,553 2,093 6,250 7,790
Professional services        
Segment revenues:        
Total revenues 22,614 24,851 63,637 74,348
Professional services | Operating Segments        
Segment revenues:        
Total revenues     63,637 74,348
Professional services | Scores | Operating Segments        
Segment revenues:        
Total revenues 0 0 0 0
Professional services | Software | Operating Segments        
Segment revenues:        
Total revenues 22,614 24,851 63,637 74,348
On-premises and SaaS software        
Segment revenues:        
Total revenues 183,785 172,059 529,633 471,203
On-premises and SaaS software | Operating Segments        
Segment revenues:        
Total revenues     529,633 471,203
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 183,785 172,059 529,633 471,203
On-premises and SaaS software | Software | Operating Segments        
Segment revenues:        
Total revenues 183,785 172,059 529,633 471,203
Scores        
Segment revenues:        
Total revenues 241,450 201,778 670,447 578,273
Scores | Operating Segments        
Segment revenues:        
Total revenues     670,447 578,273
Scores | Scores | Operating Segments        
Segment revenues:        
Total revenues 241,450 201,778 670,447 578,273
Scores | Software | Operating Segments        
Segment revenues:        
Total revenues $ 0 $ 0 $ 0 $ 0