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Fair Value Measurements - Assets and Liabilities (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Financial information for each of the Company's business segments |  |  |
Impairment, Long-Lived Asset, Held-for-Use, Statement of Income or Comprehensive Income [Extensible Enumeration] | Amortization of Intangible Assets | Amortization of Intangible Assets | Amortization of Intangible Assets
Fair Value, Recurring |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | $ 54,178 |  |
Contingent consideration | 16,236 |  |
Total liabilities | 16,236 |  |
Fair Value, Recurring | Interest rate swap |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 31,409 |  |
Fair Value, Recurring | Deferred compensation assets - Rabbi Trust |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 22,769 |  |
Level 1 | Fair Value, Recurring |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 22,769 |  |
Contingent consideration | 0 |  |
Total liabilities | 0 |  |
Level 1 | Fair Value, Recurring | Interest rate swap |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 0 |  |
Level 1 | Fair Value, Recurring | Deferred compensation assets - Rabbi Trust |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 22,769 |  |
Level 2 | Fair Value, Recurring |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 31,409 |  |
Contingent consideration | 0 |  |
Total liabilities | 0 |  |
Level 2 | Fair Value, Recurring | Interest rate swap |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 31,409 |  |
Level 2 | Fair Value, Recurring | Deferred compensation assets - Rabbi Trust |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 0 |  |
Level 3 | Fair Value, Recurring |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 0 |  |
Contingent consideration | 16,236 |  |
Total liabilities | 16,236 |  |
Level 3 | Fair Value, Recurring | Interest rate swap |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 0 |  |
Level 3 | Fair Value, Recurring | Deferred compensation assets - Rabbi Trust |  |  |
Financial information for each of the Company's business segments |  |  |
Total assets | 0 |  |
U.S. Services and Outside the U.S. Services |  |  |
Financial information for each of the Company's business segments |  |  |
Impairment of long-lived assets held-for-use | $ 0 | $ 12,500 | $ 1,200

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