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Business segments - Schedule of Segment Reporting Results By Segment (Details) $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2018 USD ($) | Jun. 30, 2018 USD ($) | Mar. 31, 2018 USD ($) | Dec. 31, 2017 USD ($) | Sep. 30, 2017 USD ($) | Jun. 30, 2017 USD ($) | Mar. 31, 2017 USD ($) | Dec. 31, 2016 USD ($) | Sep. 30, 2018 USD ($) segment | Sep. 30, 2017 USD ($) | Sep. 30, 2016 USD ($)
Segment Reporting [Abstract] |  |  |  |  |  |  |  |  |  |  |
Number of business segments | segment |  |  |  |  |  |  |  |  | 3 |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Revenue | $ 558,446 | $ 597,855 | $ 612,787 | $ 623,148 | $ 620,903 | $ 600,447 | $ 622,047 | $ 607,564 | $ 2,392,236 | $ 2,450,961 | $ 2,403,360
Gross profit | 138,938 | 154,684 | 148,803 | 151,960 | 162,581 | 152,189 | 152,317 | 144,818 | 594,385 | 611,905 | 562,191
Selling, general and administrative expense |  |  |  |  |  |  |  |  | 285,241 | 284,593 | 269,091
Operating income | 61,908 | 82,571 | 71,321 | 79,683 | 77,590 | 81,811 | 80,335 | 73,776 | 295,483 | 313,512 | 286,603
Amortization of intangible assets |  |  |  |  |  |  |  |  | (10,308) | (12,208) | (13,377)
Gain on sale of a business |  |  |  |  |  |  |  |  | $ 0 | $ 650 | $ 6,880
Percentage of total revenue |  |  |  |  |  |  |  |  | 12.40% | 12.80% | 11.90%
Depreciation and amortization |  |  |  |  |  |  |  |  | $ 51,884 | $ 55,769 | $ 58,404
Corporate/Other |  |  |  |  |  |  |  |  |  |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Selling, general and administrative expense | 865 | 1,032 | 0 | 0 | 1,050 | (90) | 92 | 357 | 2,844 | 1,492 | 2,987
Other |  |  |  |  |  |  |  |  | (1,897) | (1,409) | (2,155)
Segment Reconciling Items |  |  |  |  |  |  |  |  |  |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Amortization of intangible assets | (2,462) | (2,525) | (2,603) | (2,718) | (2,700) | (2,720) | (3,386) | (3,402) | (10,308) | (12,208) | (13,377)
Restructuring Costs |  |  |  |  |  |  |  |  | (3,353) | (2,242) | 0
Acquisition-related expenses | $ (947) | $ 0 | $ 0 | $ 0 | (83) | 0 | 0 | 0 | (947) | (83) | (832)
Gain on sale of a business |  |  |  |  | $ 0 | $ 650 | $ 0 | $ 0 | 0 | 650 | 6,880
Health Services |  |  |  |  |  |  |  |  |  |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Revenue |  |  |  |  |  |  |  |  | 1,404,959 | 1,380,151 | 1,298,304
Gross profit |  |  |  |  |  |  |  |  | 372,628 | 347,325 | 292,181
Selling, general and administrative expense |  |  |  |  |  |  |  |  | 136,250 | 132,081 | 107,155
Operating income |  |  |  |  |  |  |  |  | $ 236,378 | $ 215,244 | $ 185,026
Percentage of total revenue |  |  |  |  |  |  |  |  | 16.80% | 15.60% | 14.30%
Depreciation and amortization |  |  |  |  |  |  |  |  | $ 28,613 | $ 29,114 | $ 31,916
U.S. Federal Services |  |  |  |  |  |  |  |  |  |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Revenue |  |  |  |  |  |  |  |  | 478,911 | 545,573 | 591,728
Gross profit |  |  |  |  |  |  |  |  | 126,698 | 139,321 | 138,168
Selling, general and administrative expense |  |  |  |  |  |  |  |  | 69,312 | 74,345 | 74,792
Operating income |  |  |  |  |  |  |  |  | $ 57,386 | $ 64,976 | $ 63,376
Percentage of total revenue |  |  |  |  |  |  |  |  | 12.00% | 11.90% | 10.70%
Depreciation and amortization |  |  |  |  |  |  |  |  | $ 8,478 | $ 11,175 | $ 9,953
Human Services |  |  |  |  |  |  |  |  |  |  |
Financial information for each of the Company's business segments |  |  |  |  |  |  |  |  |  |  |
Revenue |  |  |  |  |  |  |  |  | 508,366 | 525,237 | 513,328
Gross profit |  |  |  |  |  |  |  |  | 95,059 | 125,259 | 131,842
Selling, general and administrative expense |  |  |  |  |  |  |  |  | 76,835 | 76,675 | 84,157
Operating income |  |  |  |  |  |  |  |  | $ 18,224 | $ 48,584 | $ 47,685
Percentage of total revenue |  |  |  |  |  |  |  |  | 3.60% | 9.20% | 9.30%
Depreciation and amortization |  |  |  |  |  |  |  |  | $ 14,793 | $ 15,480 | $ 16,535

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