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COMMITMENTS AND CONTINGENCIES - Schedule of Tax Receivable Agreement Maturity (Details) $ in Thousands	Sep. 30, 2025 USD ($)
Commitments and Contingencies Disclosure [Abstract]
2025 (excluding the nine months ended September 30, 2025)	$ 821
2026	15,282
2027	15,469
2028	15,728
2029	16,002
Later years	205,918
Total Payments	$ 269,220

X

- Definition

Tax Receivable Agreement Liability

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiability
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Obligation, To be paid, After Year Five

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidAfterYearFour
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Receivable Agreement Liability, To be paid, Remainder Of Fiscal Year

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidRemainderOfFiscalYear
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Receivable Agreement Liability, To be paid, Year Four

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidYearFour
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Receivable Agreement Liability, To be paid, Year One

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidYearOne
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Receivable Agreement Liability To be paid, Year Three

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidYearThree
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Tax Obligation, To be paid, Year Two

+ References

No definition available.

+ Details

Name:	cmpo_TaxReceivableAgreementLiabilityToBePaidYearTwo
Namespace Prefix:	cmpo_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- References

No definition available.

+ Details

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