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Goodwill and Other Intangible Assets - Schedule of Goodwill and Other Intangible Assets (Details) - USD ($) $ in Thousands | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
--- | --- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |  |
Goodwill | $ 61,911 | $ 70,772 | $ 67,767
Indefinite-lived intangibles | 143,610 | 155,546 | 117,114
Indefinite-lived intangible assets, net | 205,521 | 226,318 |
Definite-lived intangibles, net | 19,851 | 23,599 | $ 26,935
Total goodwill and other intangible assets | 225,372 | 249,917 |
Discounted leases |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Definite-lived intangibles, net | $ 63 | 811 |
Non-compete agreements |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization Period | 5 years |  |
Definite-lived intangibles, net | $ 0 | 3 |
Software |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Amortization Period | 5 years |  |
Definite-lived intangibles, net | $ 40 | 55 |
Licenses |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Definite-lived intangibles, net | 19,732 | 22,597 |
Leases acquired in-place |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Definite-lived intangibles, net | 16 | 133 |
Licenses |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Indefinite-lived intangibles | 124,492 | 135,735 |
Tradename |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Indefinite-lived intangibles | $ 19,118 | $ 19,811 |

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