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Noncontrolling Interest Noncontrolling Interest- Additional Information (Details) - USD ($) $ in Thousands					3 Months Ended
	Jan. 23, 2025	Oct. 24, 2024	Jul. 25, 2024	Apr. 25, 2024	Mar. 31, 2025	Mar. 31, 2024	Dec. 27, 2024
Noncontrolling Interest [Line Items]
Distributions paid	$ 18,809	$ 18,913	$ 18,913	$ 18,846	$ 18,809	$ 18,818
% Ownership Fully Diluted
Noncontrolling Interest [Line Items]
% Ownership							82.00%

X

- Definition

Ownership percentage of noncontrolling shareholders.

+ References

No definition available.

+ Details

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Namespace Prefix:	codi_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Payments of distributions to shareholders.

+ References

No definition available.

+ Details

Name:	codi_PaymentsOfDistributionsToShareholders
Namespace Prefix:	codi_
Data Type:	xbrli:monetaryItemType
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

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

X

- Details

Name:	us-gaap_OtherOwnershipInterestsByNameAxis=codi_PercentageOwnershipFullyDilutedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: