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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.

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