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Revenue Recognition - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Disaggregation of Revenue [Line Items] |  |  |
Deferred revenue, revenue recognized | $ 81,500 | $ 103,200 |
Revenue | 4,904,728 | 4,631,018 | $ 4,254,485
Performance-based |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 2,425,597 | 2,091,608 | $ 1,416,562
Performance-based | Future Outcomes | Transferred over Time |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue | 120,600 | 142,400 |
Estimate of fees upon target | 53,900 | 55,400 |
Unbilled receivables |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Unbilled contracts receivable | $ 20,700 | $ 13,100 |

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