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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Segment revenues:        
Revenues $ 338,184 $ 313,731 $ 981,959 $ 920,206
Segment operating expense (143,800) (230,860) (591,655) (709,727)
Operating income 194,384 82,871 390,304 210,479
Unallocated share-based compensation expense (30,761) (22,264) (84,099) (68,197)
Unallocated amortization expense (810) (1,048) (2,692) (4,046)
Unallocated gains on product line asset sales and business divestiture 92,805   100,139  
Unallocated restructuring and impairment charges 0 0 0 (3,104)
Unallocated interest expense (10,018) (11,223) (29,602) (32,245)
Unallocated other income, net 3,526 4,560 6,974 2,333
Income before income taxes 187,892 76,208 367,676 180,567
Depreciation expense 5,051 6,451 15,860 18,087
Operating Segments        
Segment revenues:        
Segment operating expense (205,034) (207,548) (605,003) (634,380)
Operating income 133,150 106,183 376,956 285,826
Unallocated Corporate Expenses        
Segment revenues:        
Segment operating expense (33,820) (31,315) (97,465) (99,310)
Operating income (33,820) (31,315) (97,465) (99,310)
Depreciation expense 38 28 116 361
Applications        
Segment revenues:        
Revenues 133,213 141,460 398,088 433,917
Applications | Operating Segments        
Segment revenues:        
Revenues 133,213 141,460 398,088 433,917
Segment operating expense (97,784) (111,061) (299,785) (338,527)
Operating income 35,429 30,399 98,303 95,390
Depreciation expense 3,920 5,091 12,404 13,993
Scores        
Segment revenues:        
Revenues 172,202 131,550 485,572 375,836
Scores | Operating Segments        
Segment revenues:        
Revenues 172,202 131,550 485,572 375,836
Segment operating expense (25,418) (21,333) (69,221) (54,705)
Operating income 146,784 110,217 416,351 321,131
Depreciation expense 159 176 520 433
Decision Management Software        
Segment revenues:        
Revenues 32,769 40,721 98,299 110,453
Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 32,769 40,721 98,299 110,453
Segment operating expense (48,012) (43,839) (138,532) (141,838)
Operating income (15,243) (3,118) (40,233) (31,385)
Depreciation expense 934 1,156 2,820 3,300
Transactional and Maintenance        
Segment revenues:        
Revenues 288,078 246,829 821,147 707,905
Transactional and Maintenance | Applications | Operating Segments        
Segment revenues:        
Revenues 99,822 98,476 294,240 295,102
Transactional and Maintenance | Scores | Operating Segments        
Segment revenues:        
Revenues 170,415 130,268 476,217 365,324
Transactional and Maintenance | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 17,841 18,085 50,690 47,479
Technology Service        
Segment revenues:        
Revenues 35,918 43,633 115,137 135,563
Technology Service | Applications | Operating Segments        
Segment revenues:        
Revenues 26,381 32,364 84,613 101,521
Technology Service | Scores | Operating Segments        
Segment revenues:        
Revenues 166 58 986 1,141
Technology Service | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 9,371 11,211 29,538 32,901
License        
Segment revenues:        
Revenues 14,188 23,269 45,675 76,738
License | Applications | Operating Segments        
Segment revenues:        
Revenues 7,010 10,620 19,235 37,294
License | Scores | Operating Segments        
Segment revenues:        
Revenues 1,621 1,224 8,369 9,371
License | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues $ 5,557 $ 11,425 $ 18,071 $ 30,073