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Revenue Recognition (Tables)
 3 Months Ended
Dec. 31, 2019
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
By operating segment and service
(dollars in thousands)Three Months Ended December 31, 2019Three Months Ended December 31, 2018
Program administration$236,907  $218,973  
Assessments and appeals33,831  37,221  
Workforce and children services29,386  23,903  
Other12,157  14,116  
Total U.S. Health and Human Services312,281  294,213  
Program administration281,688  140,121  
Technology solutions43,606  38,883  
Assessments and appeals41,277  37,983  
Total U.S. Federal Services366,571  216,987  
Workforce and children services57,239  73,278  
Assessments and appeals62,643  62,310  
Program administration17,094  15,320  
Other2,401  2,511  
Total Outside the U.S.139,377  153,419  
Total revenue$818,229  $664,619  

By contract type
(dollars in thousands)Three Months Ended December 31, 2019Three Months Ended December 31, 2018
Performance-based$292,758  $312,887  
Cost-plus362,811  175,298  
Fixed price119,216  147,151  
Time and materials43,444  29,283  
Total revenue$818,229  $664,619  
By customer type
(dollars in thousands)Three Months Ended December 31, 2019Three Months Ended December 31, 2018
New York State government agencies$97,223  $91,712  
Other U.S. state government agencies209,886  198,902  
Total U.S. state government agencies307,109  290,614  
United States Federal Government agencies351,833  198,278  
International government agencies130,816  142,781  
Other, including local municipalities and commercial customers28,471  32,946  
Total revenue$818,229  $664,619  

By geography
(dollars in thousands)Three Months Ended December 31, 2019Three Months Ended December 31, 2018
United States of America$678,852  $511,200  
United Kingdom73,002  73,418  
Australia37,435  53,373  
Rest of world28,940  26,628  
Total revenue$818,229  $664,619