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Revenue Recognition (Tables) | 12 Months Ended
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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 appeals |  | 136,109 |
Workforce and children services |  | 100,454 |
Other |  | 56,153 |
Total U.S. Health and Human Services |  | 1,176,488 |
Program administration |  | 779,573 |
Technology solutions |  | 160,342 |
Assessments and appeals |  | 171,282 |
Total U.S. Federal Services |  | 1,111,197 |
Workforce and children services |  | 272,801 |
Assessments and appeals |  | 252,447 |
Program administration |  | 63,734 |
Other |  | 10,148 |
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-plus |  | 1,088,541 |
Fixed price |  | 441,146 |
Time and materials |  | 164,053 |
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 agencies |  | 804,213 |
Total U.S. state government agencies |  | 1,166,937 |
United States Federal Government agencies |  | 1,040,980 |
International government agencies |  | 558,599 |
Other, including local municipalities and commercial customers |  | 120,299 |
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, |  |  |  |
| 2019 |  | 2018 |  | 2017
Balance at beginning of year | $ | 4,285 |  |  | $ | 6,843 |  |  | $ | 4,226 |
Additions to reserve | 4,018 |  |  | 243 |  |  | 5,106 |
Deductions | (2,921) |  |  | (2,801) |  |  | (2,489) |
Balance at end of year | $ | 5,382 |  |  | $ | 4,285 |  |  | $ | 6,843 |

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