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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2025 | Sep. 30, 2024
--- | --- | ---
Other Intangible Assets [Abstract] |  |
Carrying Amount | $ 223,785 | $ 581,691
Accumulated Amortization | (139,945) | (455,665)
Net | 83,840 | 126,026
Definite-lived trade names |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 26,176 | 151,598
Accumulated Amortization | (21,513) | (127,829)
Net | 4,663 | 23,769
Customer relationships |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 150,628 | 380,387
Accumulated Amortization | (104,363) | (311,621)
Net | 46,265 | 68,766
Copyrights/patents/other |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 16,441 | 19,166
Accumulated Amortization | (14,069) | (16,215)
Net | 2,372 | 2,951
Indefinite-lived trade names |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 30,540 | 30,540
Accumulated Amortization | 0 | 0
Net | $ 30,540 | $ 30,540

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