Quarterly report pursuant to Section 13 or 15(d)

Revenue Recognition - Disaggregation of Revenue (Details)

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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
 3 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Disaggregation of Revenue [Line Items]    
Revenue $ 818,229 $ 664,619
United States of America    
Disaggregation of Revenue [Line Items]    
Revenue 678,852 511,200
United Kingdom    
Disaggregation of Revenue [Line Items]    
Revenue 73,002 73,418
Australia    
Disaggregation of Revenue [Line Items]    
Revenue 37,435 53,373
Rest of world    
Disaggregation of Revenue [Line Items]    
Revenue 28,940 26,628
Total U.S. state government agencies    
Disaggregation of Revenue [Line Items]    
Revenue 307,109 290,614
New York State government agencies    
Disaggregation of Revenue [Line Items]    
Revenue 97,223 91,712
Other U.S. state government agencies    
Disaggregation of Revenue [Line Items]    
Revenue 209,886 198,902
United States Federal Government agencies    
Disaggregation of Revenue [Line Items]    
Revenue 351,833 198,278
International government agencies    
Disaggregation of Revenue [Line Items]    
Revenue 130,816 142,781
Other, including local municipalities and commercial customers    
Disaggregation of Revenue [Line Items]    
Revenue 28,471 32,946
Performance-based    
Disaggregation of Revenue [Line Items]    
Revenue 292,758 312,887
Cost-plus    
Disaggregation of Revenue [Line Items]    
Revenue 362,811 175,298
Fixed price    
Disaggregation of Revenue [Line Items]    
Revenue 119,216 147,151
Time and materials    
Disaggregation of Revenue [Line Items]    
Revenue 43,444 29,283
U.S. Health & Human Services    
Disaggregation of Revenue [Line Items]    
Revenue 312,281 294,213
U.S. Federal Services    
Disaggregation of Revenue [Line Items]    
Revenue 366,571 216,987
Outside the U.S.    
Disaggregation of Revenue [Line Items]    
Revenue 139,377 153,419
Program administration | U.S. Health & Human Services    
Disaggregation of Revenue [Line Items]    
Revenue 236,907 218,973
Program administration | U.S. Federal Services    
Disaggregation of Revenue [Line Items]    
Revenue 281,688 140,121
Program administration | Outside the U.S.    
Disaggregation of Revenue [Line Items]    
Revenue 17,094 15,320
Technology solutions | U.S. Federal Services    
Disaggregation of Revenue [Line Items]    
Revenue 43,606 38,883
Assessments and appeals | U.S. Health & Human Services    
Disaggregation of Revenue [Line Items]    
Revenue 33,831 37,221
Assessments and appeals | U.S. Federal Services    
Disaggregation of Revenue [Line Items]    
Revenue 41,277 37,983
Assessments and appeals | Outside the U.S.    
Disaggregation of Revenue [Line Items]    
Revenue 62,643 62,310
Workforce and children services | U.S. Health & Human Services    
Disaggregation of Revenue [Line Items]    
Revenue 29,386 23,903
Workforce and children services | Outside the U.S.    
Disaggregation of Revenue [Line Items]    
Revenue 57,239 73,278
Other | U.S. Health & Human Services    
Disaggregation of Revenue [Line Items]    
Revenue 12,157 14,116
Other | Outside the U.S.    
Disaggregation of Revenue [Line Items]    
Revenue $ 2,401 $ 2,511