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Goodwill and Other Intangible Assets - Intangible assets gross carrying amounts and accumulated amortization (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
--- | --- | --- | ---
Goodwill and Other Intangible Assets |  |  |
Goodwill | $ 503,177 | $ 492,709 | $ 504,900
Trade names |  |  |
Goodwill and Other Intangible Assets |  |  |
Trade names | 161,447 | 160,024 |
Patents |  |  |
Goodwill and Other Intangible Assets |  |  |
Gross carrying amount | 2,516 | 2,353 |
Less: accumulated amortization | 1,218 | 1,091 |
Net | 1,298 | 1,262 |
Capitalized software |  |  |
Goodwill and Other Intangible Assets |  |  |
Gross carrying amount | 121,883 | 106,583 |
Less: accumulated amortization | 80,774 | 70,476 |
Net | 41,109 | 36,107 |
Customer Relationships |  |  |
Goodwill and Other Intangible Assets |  |  |
Gross carrying amount | 296,927 | 287,447 |
Less: accumulated amortization | 113,311 | 96,921 |
Net | 183,616 | 190,526 |
Other |  |  |
Goodwill and Other Intangible Assets |  |  |
Gross carrying amount | 14,232 | 13,985 |
Less: accumulated amortization | 9,578 | 7,440 |
Net | $ 4,654 | $ 6,545 |

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