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Revenue - Contract Estimates (Details) - USD ($) $ in Millions	Sep. 30, 2022	Dec. 31, 2021	Dec. 31, 2020
Revenue
Accrued sales incentives	$ 1.3	$ 1.9	$ 3.1

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- References

No definition available.

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Definition

Carrying value as of the balance sheet date of obligations incurred through that date and payable for sales incentives. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

+ References

No definition available.

+ Details

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Namespace Prefix:	wch_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant