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Segment Information - Summary of Segment Information (Detail) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Segment revenues:                      
Revenues $ 279,791 $ 259,505 $ 257,858 $ 235,321 $ 253,205 $ 230,986 $ 228,378 $ 219,600 $ 1,032,475 $ 932,169 $ 881,356
Segment operating expense                 (826,038) (754,969) (711,764)
Operating income                 206,437 177,200 169,592
Unallocated share-based compensation expense                 (74,814) (61,222) (55,509)
Unallocated amortization expense $ (500) $ (600) $ (600) $ (700) $ (1,400) $ (1,700) $ (1,700) $ (1,700) (6,594) [1] (12,709) [1] (13,982) [1]
Unallocated restructuring and acquisition-related expenses                 0 (4,471) 0
Unallocated interest expense, net                 (31,311) (25,790) (26,633)
Unallocated other income (expense), net                 12,884 (86) 1,610
Income before income taxes                 188,010 151,324 144,569
Depreciation expense                 22,633 22,980 17,651
Applications                      
Segment revenues:                      
Revenues                 585,571 553,167 532,642
Scores                      
Segment revenues:                      
Revenues                 342,648 266,354 241,059
Decision Management Software                      
Segment revenues:                      
Revenues                 104,256 112,648 107,655
Operating Segments                      
Segment revenues:                      
Segment operating expense                 (744,630) (676,567) (642,273)
Operating income                 287,845 255,602 239,083
Operating Segments | Applications                      
Segment revenues:                      
Revenues                 585,571 553,167 532,642
Segment operating expense                 (420,995) (393,667) (364,371)
Operating income                 164,576 159,500 168,271
Depreciation expense                 15,651 15,857 11,852
Operating Segments | Scores                      
Segment revenues:                      
Revenues                 342,648 266,354 241,059
Segment operating expense                 (63,477) (54,436) (55,975)
Operating income                 279,171 211,918 185,084
Depreciation expense                 555 991 814
Operating Segments | Decision Management Software                      
Segment revenues:                      
Revenues                 104,256 112,648 107,655
Segment operating expense                 (134,903) (123,466) (111,315)
Operating income                 (30,647) (10,818) (3,660)
Depreciation expense                 5,471 4,783 3,657
Unallocated Corporate Expenses                      
Segment revenues:                      
Segment operating expense                 (125,255) (104,998) (110,612)
Operating income                 (125,255) (104,998) (110,612)
Depreciation expense                 956 1,349 1,328
Transactional and maintenance                      
Segment revenues:                      
Revenues                 766,059 652,660 605,919
Transactional and maintenance | Operating Segments | Applications                      
Segment revenues:                      
Revenues                 381,109 348,861 328,472
Transactional and maintenance | Operating Segments | Scores                      
Segment revenues:                      
Revenues                 337,530 259,780 233,655
Transactional and maintenance | Operating Segments | Decision Management Software                      
Segment revenues:                      
Revenues                 47,420 44,019 43,792
Professional services                      
Segment revenues:                      
Revenues                 176,804 179,569 169,738
Professional services | Operating Segments | Applications                      
Segment revenues:                      
Revenues                 142,908 141,857 138,775
Professional services | Operating Segments | Scores                      
Segment revenues:                      
Revenues                 1,751 2,849 4,185
Professional services | Operating Segments | Decision Management Software                      
Segment revenues:                      
Revenues                 32,145 34,863 26,778
License                      
Segment revenues:                      
Revenues                 89,612 99,940 105,699
License | Operating Segments | Applications                      
Segment revenues:                      
Revenues                 61,554 62,449 65,395
License | Operating Segments | Scores                      
Segment revenues:                      
Revenues                 3,367 3,725 3,219
License | Operating Segments | Decision Management Software                      
Segment revenues:                      
Revenues                 $ 24,691 $ 33,766 $ 37,085
[1] Cost of revenues and selling, general and administrative expenses exclude the amortization of intangible assets. See Note 7.