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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands | Mar. 31, 2023 | Sep. 30, 2022
--- | --- | ---
Other Intangible Assets [Abstract] |  |
Carrying Amount | $ 591,969 | $ 582,539
Accumulated Amortization | (401,582) | (380,385)
Net | 190,387 | 202,154
Definite-lived trade names |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 153,635 | 150,528
Accumulated Amortization | (120,257) | (117,572)
Net | 33,378 | 32,956
Customer relationships |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 385,126 | 380,593
Accumulated Amortization | (265,651) | (248,464)
Net | 119,475 | 132,129
Copyrights/patents/other |  |
Other Intangible Assets [Abstract] |  |
Carrying Amount | 22,668 | 20,878
Accumulated Amortization | (15,674) | (14,349)
Net | 6,994 | 6,529
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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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(16)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
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