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Noncontrolling Interest Noncontrolling Interest- Additional Information (Details) - USD ($) $ in Thousands							9 Months Ended
	Jul. 27, 2023	Apr. 27, 2023	Jan. 26, 2023	Oct. 27, 2022	Jul. 28, 2022	Apr. 28, 2022	Sep. 30, 2023	Sep. 30, 2022
Noncontrolling Interest [Line Items]
Distributions paid	$ 17,974	$ 17,987	$ 18,051	$ 18,051	$ 17,931	$ 17,510	$ 54,012	$ 52,794

X

- Definition

Payments of distributions to shareholders.

+ References

No definition available.

+ Details

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Namespace Prefix:	codi_
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Balance Type:	credit
Period Type:	duration

X

- Definition

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.

+ References

No definition available.

+ Details

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