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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands | Dec. 31, 2023 | Sep. 30, 2023
--- | --- | ---
Other Intangible Assets [Abstract] |  |
Carrying Amount | $ 579,618 | $ 579,261
Accumulated Amortization | (428,276) | (418,783)
Net | 151,342 | 160,478
Definite-lived trade names |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 151,481 | 151,185
Accumulated Amortization | (123,849) | (122,474)
Net | 27,632 | 28,711
Customer relationships |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 377,957 | 378,161
Accumulated Amortization | (288,596) | (280,910)
Net | 89,361 | 97,251
Copyrights/patents/other |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 19,640 | 19,375
Accumulated Amortization | (15,831) | (15,399)
Net | 3,809 | 3,976
Indefinite-lived trade names |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 30,540 | 30,540
Net | $ 30,540 | $ 30,540

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- Definition Sum of the gross carrying amounts before accumulated amortization as of the balance sheet date of all intangible assets having statutory or estimated useful lives, and the carrying amount of any indefinite-lived intangible assets. + References No definition available. + Details
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