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Related Party Transactions - Additional Information (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Feb. 28, 2010
Timet Finance Management Company | Promissory Note Payable          
Related Party Transaction [Line Items]          
Promissory note, Variable rate basis       LIBOR plus 1%  
Promissory note, Variable rate       1.00%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
 
Maturity period 2014-09        
Quarterly principal repayments       $ 250,000us-gaap_DebtInstrumentPeriodicPaymentPrincipal
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
 
Repayments of principal amount   18,500,000us-gaap_DebtInstrumentAnnualPrincipalPayment
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
3,800,000us-gaap_DebtInstrumentAnnualPrincipalPayment
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
   
Interest expense   127,000us-gaap_InterestExpenseRelatedParty
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
303,000us-gaap_InterestExpenseRelatedParty
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_NotesPayableOtherPayablesMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TimetFinanceManagementCompanyMember
   
Tall Pines Insurance Company And EWI RE Inc          
Related Party Transaction [Line Items]          
Related party transaction expense 1,100,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TallPinesInsuranceCompanyAndEwiReIncMember
1,000,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TallPinesInsuranceCompanyAndEwiReIncMember
1,200,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_TallPinesInsuranceCompanyAndEwiReIncMember
   
NL          
Related Party Transaction [Line Items]          
Loans outstanding amount 0us-gaap_NotesReceivableRelatedParties
/ dei_LegalEntityAxis
= cix_NlIndustriesMember
0us-gaap_NotesReceivableRelatedParties
/ dei_LegalEntityAxis
= cix_NlIndustriesMember
0us-gaap_NotesReceivableRelatedParties
/ dei_LegalEntityAxis
= cix_NlIndustriesMember
   
Contran Corporation | Intercorporate Services Agreements Fees          
Related Party Transaction [Line Items]          
Related party transaction expense 3,000,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ dei_LegalEntityAxis
= cix_ContranCorporationMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_IntercorporateServicesAgreementsFeesMember
3,900,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ dei_LegalEntityAxis
= cix_ContranCorporationMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_IntercorporateServicesAgreementsFeesMember
3,700,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ dei_LegalEntityAxis
= cix_ContranCorporationMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_IntercorporateServicesAgreementsFeesMember
   
Contran Corporation | Intercorporate Services Agreements Fees | Scenario Forecast          
Related Party Transaction [Line Items]          
Related party transaction expense 3,000,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ dei_LegalEntityAxis
= cix_ContranCorporationMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cix_IntercorporateServicesAgreementsFeesMember
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioForecastMember
       
Unsecured Revolving Demand Promissory | NL          
Related Party Transaction [Line Items]          
Maximum loan amount         $ 40,000,000us-gaap_NotesReceivableRelatedPartiesNoncurrent
/ us-gaap_DebtInstrumentAxis
= cix_UnsecuredRevolvingDemandPromissoryNoteMember
/ dei_LegalEntityAxis
= cix_NlIndustriesMember
Interest rate on loans repayment         0.75%us-gaap_LoansReceivableBasisSpreadOnVariableRate
/ us-gaap_DebtInstrumentAxis
= cix_UnsecuredRevolvingDemandPromissoryNoteMember
/ dei_LegalEntityAxis
= cix_NlIndustriesMember
Maximum | Unsecured Revolving Demand Promissory | NL          
Related Party Transaction [Line Items]          
Maturity date Dec. 31, 2016        
Minimum | Unsecured Revolving Demand Promissory | NL          
Related Party Transaction [Line Items]          
Maturity date Mar. 31, 2016