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Debt and Other Obligations - Other Short-Term Debt and Obligations (Details) € in Millions, $ in Millions	Sep. 30, 2023 USD ($)	Dec. 31, 2022 USD ($)	Dec. 31, 2022 EUR (€)
Debt Instrument [Line Items]
Repurchase agreement	$ 0.0	$ 36.3
Total of Other short-term debt and obligations	146.7	256.0
Total ancillary capacity - U.S. $
Debt Instrument [Line Items]
Total ancillary capacity \| €			€ 268.3
Total ancillary capacity - U.S. $ \| OEC GmbH outstanding borrowings
Debt Instrument [Line Items]
Outstanding	130.4	148.7
Total ancillary capacity - U.S. $ \| OEC LLC outstanding borrowings
Debt Instrument [Line Items]
Outstanding	0.0	5.4
Uncommitted local lines of credit: \| Korea (capacity $39.0 million)
Debt Instrument [Line Items]
Total ancillary capacity	39.0
Outstanding	2.0	0.0
Uncommitted local lines of credit: \| Brazil (capacity $3.2 million)
Debt Instrument [Line Items]
Total ancillary capacity	3.2
Outstanding	0.0	2.9
China working capital
Debt Instrument [Line Items]
Outstanding	4.1	1.5
Korea working capital loan
Debt Instrument [Line Items]
Outstanding	$ 10.2	$ 7.9