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Income Taxes - Components of Pre-tax Income and Comprehensive Provision for Income Taxes (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Provision for income taxes:      
Deferred income tax expense (benefit) $ 468us-gaap_DeferredIncomeTaxExpenseBenefit $ 916us-gaap_DeferredIncomeTaxExpenseBenefit $ (7,713)us-gaap_DeferredIncomeTaxExpenseBenefit
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit 3,226us-gaap_IncomeTaxExpenseBenefit 1,415us-gaap_IncomeTaxExpenseBenefit
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit 3,226us-gaap_IncomeTaxExpenseBenefit 1,415us-gaap_IncomeTaxExpenseBenefit
Comprehensive provision for income tax allocable to:      
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit 3,226us-gaap_IncomeTaxExpenseBenefit 1,415us-gaap_IncomeTaxExpenseBenefit
Discontinued operations     3,484us-gaap_DiscontinuedOperationTaxEffectOfDiscontinuedOperation
Tax Provision Excluding Discontinued Operations      
Provision for income taxes:      
Currently payable 4,544us-gaap_CurrentIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
2,310us-gaap_CurrentIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
1,633us-gaap_CurrentIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Deferred income tax expense (benefit) 468us-gaap_DeferredIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
916us-gaap_DeferredIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
(218)us-gaap_DeferredIncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
3,226us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
1,415us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Expected tax expense, at the U.S. federal statutory income tax rate of 35% 4,787us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
3,234us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
1,729us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
State income taxes and other, net 627us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
294us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
173us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Tax credits (378)us-gaap_IncomeTaxReconciliationTaxCredits
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
(200)us-gaap_IncomeTaxReconciliationTaxCredits
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
(170)us-gaap_IncomeTaxReconciliationTaxCredits
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Valuation allowance (24)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
(102)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
(317)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
3,226us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
1,415us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Comprehensive provision for income tax allocable to:      
Tax provision attributable to continuing operations 5,012us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
3,226us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
1,415us-gaap_IncomeTaxExpenseBenefit
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Discontinued operations     5,397us-gaap_DiscontinuedOperationTaxEffectOfDiscontinuedOperation
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
Total $ 5,012us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
$ 3,226us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember
$ 6,812us-gaap_IncomeTaxExpenseBenefitIntraperiodTaxAllocation
/ us-gaap_IncomeStatementLocationAxis
= cix_TaxProvisionExcludingDiscontinuedOperationsMember