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Revenue Recognition (Tables)
 12 Months Ended
Sep. 30, 2019
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
By operating segment and service
(dollars in thousands)Year ended September 30, 2019
Program administration$883,772  
Assessments and appeals136,109  
Workforce and children services100,454  
Other56,153  
Total U.S. Health and Human Services1,176,488  
Program administration779,573  
Technology solutions160,342  
Assessments and appeals171,282  
Total U.S. Federal Services1,111,197  
Workforce and children services272,801  
Assessments and appeals252,447  
Program administration63,734  
Other10,148  
Total Outside the U.S.599,130  
Total revenue$2,886,815  

By contract type
(dollars in thousands)Year ended September 30, 2019
Performance-based$1,193,075  
Cost-plus1,088,541  
Fixed price441,146  
Time and materials164,053  
Total revenue$2,886,815  
By customer type
(dollars in thousands)Year ended September 30, 2019
New York State government agencies$362,724  
Other U.S. state government agencies804,213  
Total U.S. state government agencies1,166,937  
United States Federal Government agencies1,040,980  
International government agencies558,599  
Other, including local municipalities and commercial customers120,299  
Total revenue$2,886,815  
Changes in Contract Assets
Changes in the reserves against accounts receivable were as follows (in thousands):
 Year ended September 30,
 201920182017
Balance at beginning of year$4,285  $6,843  $4,226  
Additions to reserve4,018  243  5,106  
Deductions(2,921) (2,801) (2,489) 
Balance at end of year$5,382  $4,285  $6,843