Summary of Significant Accounting Policies - Basis of presentation (Details) - USD ($) $ in Millions	12 Months Ended
Sep. 30, 2024	Sep. 30, 2025
Business acquisitions
Equity Method Investments Reclassified During Period	$ 9.4
Coperion Capital Gmb H \| Maximum
Business acquisitions
Percentage ownership in affiliates acquired through acquisition of the affiliate's parent company		100.00%

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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+ Details