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Debt - Summary of Actual Financial Ratios as Part of Affirmative Covenants Credit Facility (Detail)	12 Months Ended
	Dec. 31, 2022
Debt Instrument [Line Items]
Actual fixed charge coverage ratio	3.09
Actual secured debt to EBITDA ratio	112.00%
Actual debt to EBITDA ratio	3.97

X

- Definition

Actual debt to EBITDA ratio.

+ References

No definition available.

+ Details

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Namespace Prefix:	codi_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Actual fixed charge coverage ratio.

+ References

No definition available.

+ Details

Name:	codi_ActualFixedChargeCoverageRatio
Namespace Prefix:	codi_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Actual Secured Debt To Ebitda Ratio

+ References

No definition available.

+ Details

Name:	codi_ActualSecuredDebtToEbitdaRatio
Namespace Prefix:	codi_
Data Type:	dtr-types:percentItemType
Balance Type:	na
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_DebtInstrumentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration