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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Segment revenues:        
Revenues $ 313,731 $ 314,249 $ 920,206 $ 854,739
Segment operating expense (230,860) (228,541) (709,727) (671,478)
Operating income 82,871 85,708 210,479 183,261
Unallocated share-based compensation expense (22,264) (19,595) (68,197) (61,931)
Unallocated amortization expense (1,048) (1,448) (4,046) (4,453)
Unallocated restructuring and acquisition-related 0 0 (3,104) 0
Unallocated interest expense (11,223) (10,111) (32,245) (29,795)
Unallocated other income, net 4,560 2,457 2,333 1,718
Income before income taxes 76,208 78,054 180,567 155,184
Depreciation expense 6,451 6,179 18,087 18,318
Operating Segments        
Segment revenues:        
Segment operating expense (207,548) (207,498) (634,380) (605,094)
Operating income 106,183 106,751 285,826 249,645
Unallocated Corporate Expenses        
Segment revenues:        
Segment operating expense (31,315) (36,019) (99,310) (104,779)
Operating income (31,315) (36,019) (99,310) (104,779)
Depreciation expense 28 222 361 684
Applications        
Segment revenues:        
Revenues 141,460 165,637 433,917 455,111
Applications | Operating Segments        
Segment revenues:        
Revenues 141,460 165,637 433,917 455,111
Segment operating expense (111,061) (113,400) (338,527) (332,641)
Operating income 30,399 52,237 95,390 122,470
Depreciation expense 5,091 4,800 13,993 14,259
Scores        
Segment revenues:        
Revenues 131,550 115,146 375,836 305,232
Scores | Operating Segments        
Segment revenues:        
Revenues 131,550 115,146 375,836 305,232
Segment operating expense (21,333) (15,850) (54,705) (45,499)
Operating income 110,217 99,296 321,131 259,733
Depreciation expense 176 130 433 387
Decision Management Software        
Segment revenues:        
Revenues 40,721 33,466 110,453 94,396
Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 40,721 33,466 110,453 94,396
Segment operating expense (43,839) (42,229) (141,838) (122,175)
Operating income (3,118) (8,763) (31,385) (27,779)
Depreciation expense 1,156 1,027 3,300 2,988
Transactional and Maintenance        
Segment revenues:        
Revenues 246,829 226,040 707,905 632,012
Transactional and Maintenance | Applications | Operating Segments        
Segment revenues:        
Revenues 98,476 100,385 295,102 294,624
Transactional and Maintenance | Scores | Operating Segments        
Segment revenues:        
Revenues 130,268 112,949 365,324 300,133
Transactional and Maintenance | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 18,085 12,706 47,479 37,255
Technology Service        
Segment revenues:        
Revenues 43,633 44,594 135,563 135,957
Technology Service | Applications | Operating Segments        
Segment revenues:        
Revenues 32,364 33,989 101,521 101,432
Technology Service | Scores | Operating Segments        
Segment revenues:        
Revenues 58 392 1,141 1,994
Technology Service | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues 11,211 10,213 32,901 32,531
License        
Segment revenues:        
Revenues 23,269 43,615 76,738 86,770
License | Applications | Operating Segments        
Segment revenues:        
Revenues 10,620 31,263 37,294 59,055
License | Scores | Operating Segments        
Segment revenues:        
Revenues 1,224 1,805 9,371 3,105
License | Decision Management Software | Operating Segments        
Segment revenues:        
Revenues $ 11,425 $ 10,547 $ 30,073 $ 24,610