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Stockholders' Equity - Additional Information (Detail) (USD $) | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 30, 2013 | Mar. 31, 2013 | Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2012
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |  |  |
Treasury stock purchases |  |  | 0 us-gaap_TreasuryStockSharesAcquired | 0 us-gaap_TreasuryStockSharesAcquired | 0 us-gaap_TreasuryStockSharesAcquired
Shares available for purchase |  |  | 678,000 us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased |  |
Common Stock Dividend declared by directors | $ 0.05 us-gaap_CommonStockDividendsPerShareDeclared | $ 0.125 us-gaap_CommonStockDividendsPerShareDeclared |  |  |
2013 Director Stock Plan |  |  |  |  |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |  |  |
Common stock shares authorized to be issued under the plan |  |  | 200,000 us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized / us-gaap_PlanNameAxis = cix_IncentiveCompensationPlanMember |  |
Shares available for award |  |  | 188,000 us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant / us-gaap_PlanNameAxis = cix_IncentiveCompensationPlanMember |  |
Class A Common Stock |  |  |  |  |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |  |  |
Common stock, vote per share |  |  | 1 cix_CommonStockNumberOfVotes / us-gaap_StatementClassOfStockAxis = us-gaap_CommonClassAMember |  |
Class B Common Stock | NL | All Matters Except Election Of Directors |  |  |  |  |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |  |  |
Common stock, vote per share |  |  | 1 cix_CommonStockNumberOfVotes / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cix_NlIndustriesMember / us-gaap_StatementClassOfStockAxis = us-gaap_CommonClassBMember / us-gaap_StatementScenarioAxis = cix_AllMattersExceptElectionOfDirectorsMember |  |
Class B Common Stock | NL | Election Of Directors |  |  |  |  |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |  |  |
Common stock, vote per share |  |  | 10 cix_CommonStockNumberOfVotes / us-gaap_RelatedPartyTransactionsByRelatedPartyAxis = cix_NlIndustriesMember / us-gaap_StatementClassOfStockAxis = us-gaap_CommonClassBMember / us-gaap_StatementScenarioAxis = cix_ElectionOfDirectorsMember |  |

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- Definition Aggregate dividends declared during the period for each share of common stock outstanding. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 04 -Article 3 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI http://asc.fasb.org/extlink&oid=27012166&loc=d3e187085-122770 + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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