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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Segment revenues:        
Transactional and maintenance $ 195,195 $ 161,249 $ 369,857 $ 314,909
Professional services 46,078 41,284 88,704 84,827
License 16,585 25,845 34,618 48,242
Total revenues 257,858 228,378 493,179 447,978
Segment operating expense (209,779) (188,337) (405,196) (373,010)
Operating income 48,079 40,041 87,983 74,968
Unallocated share-based compensation expense (19,239) (14,712) (35,749) (29,231)
Unallocated amortization expense [1] (1,684) (3,312) (3,472) (6,632)
Unallocated interest expense (7,116) (6,578) (13,576) (12,750)
Unallocated other expense, net (161) (327) 352 (427)
Income before income taxes 40,802 33,136 74,759 61,791
Depreciation expense 5,510 5,738 11,304 11,347
Operating Segments        
Segment revenues:        
Segment operating expense (188,856) (170,313) (365,975) (337,147)
Operating income 69,002 58,065 127,204 110,831
Unallocated Corporate Expenses        
Segment revenues:        
Segment operating expense (33,493) (25,223) (60,253) (49,856)
Operating income (33,493) (25,223) (60,253) (49,856)
Depreciation expense 238 341 522 690
Applications | Operating Segments        
Segment revenues:        
Transactional and maintenance 97,630 86,013 190,843 170,894
Professional services 38,516 32,640 73,369 66,981
License 10,553 15,684 23,896 31,227
Total revenues 146,699 134,337 288,108 269,102
Segment operating expense (107,039) (99,454) (209,658) (199,251)
Operating income 39,660 34,883 78,450 69,851
Depreciation expense 3,834 3,959 7,777 7,827
Scores | Operating Segments        
Segment revenues:        
Transactional and maintenance 85,644 63,628 155,218 121,880
Professional services 682 994 960 1,515
License 1,584 811 1,647 1,420
Total revenues 87,910 65,433 157,825 124,815
Segment operating expense (16,411) (14,484) (32,298) (27,803)
Operating income 71,499 50,949 125,527 97,012
Depreciation expense 147 236 302 502
Decision Management Software | Operating Segments        
Segment revenues:        
Transactional and maintenance 11,921 11,608 23,796 22,135
Professional services 6,880 7,650 14,375 16,331
License 4,448 9,350 9,075 15,595
Total revenues 23,249 28,608 47,246 54,061
Segment operating expense (31,913) (31,152) (63,766) (60,237)
Operating income (8,664) (2,544) (16,520) (6,176)
Depreciation expense $ 1,291 $ 1,202 $ 2,703 $ 2,328
[1] Cost of revenues and selling, general and administrative expenses exclude the amortization of intangible assets. See Note 4.