Goodwill and Other Intangible Assets (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Goodwill and Other Intangible Assets
Goodwill	$ 492,709	$ 504,853	$ 408,100
Trade names
Goodwill and Other Intangible Assets
Trade names	160,024	161,733
Patents
Goodwill and Other Intangible Assets
Gross carrying amount	2,353	2,131
Less: accumulated amortization	1,091	972
Net	1,262	1,159
Capitalized software
Goodwill and Other Intangible Assets
Gross carrying amount	106,583	93,671
Less: accumulated amortization	70,476	63,740
Net	36,107	29,931
Customer Relationships
Goodwill and Other Intangible Assets
Gross carrying amount	287,447	288,530
Less: accumulated amortization	96,921	80,882
Net	190,526	207,648
Other
Goodwill and Other Intangible Assets
Gross carrying amount	13,985	13,177
Less: accumulated amortization	7,440	4,398
Net	$ 6,545	$ 8,779

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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