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Revenue recognition (Tables)
12 Months Ended
Sep. 30, 2020
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
By operating segment and service
Year ended September 30,
(in thousands)20202019
Program administration1,008,591 883,772 
Assessments and appeals141,446 136,109 
Workforce and children services127,595 100,454 
Other51,642 56,153 
Total U.S. Services1,329,274 1,176,488 
Program administration1,288,741 779,573 
Technology solutions169,259 160,342 
Assessments and appeals175,337 171,282 
Total U.S. Federal Services1,633,337 1,111,197 
Workforce and children services206,657 272,801 
Assessments and appeals218,704 252,447 
Program administration66,002 63,734 
Other7,563 10,148 
Total Outside the U.S.498,926 599,130 
Total revenue3,461,537 2,886,815 

By contract type
Year ended September 30,
(in thousands)20202019
Performance-based$1,109,153 $1,193,075 
Cost-plus$1,578,912 $1,088,541 
Fixed price$471,505 $441,146 
Time and materials$301,967 $164,053 
Total revenue$3,461,537 $2,886,815 
By customer type
Year ended September 30,
(in thousands)20202019
New York State government agencies$355,282 $362,724 
Other U.S. state government agencies988,945 804,213 
Total U.S. state government agencies1,344,227 1,166,937 
United States Federal Government agencies1,559,165 1,040,980 
International government agencies467,185 558,599 
Other, including local municipalities and commercial customers90,960 120,299 
Total revenue$3,461,537 $2,886,815 
Changes in Contract Assets
Changes in the reserves against accounts receivable were as follows:
 Year ended September 30,
 (in thousands)202020192018
Balance at beginning of year$5,382 $4,285 $6,843 
Additions to reserve12,976 4,018 243 
Deductions(12,307)(2,921)(2,801)
Balance at end of year$6,051 $5,382 $4,285