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INCOME TAXES (Details) (USD $)
In Millions, unless otherwise specified
 3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Current:                      
Federal                 $ 45.5us-gaap_CurrentFederalTaxExpenseBenefit $ (24.3)us-gaap_CurrentFederalTaxExpenseBenefit $ 38.9us-gaap_CurrentFederalTaxExpenseBenefit
State                 3.7us-gaap_CurrentStateAndLocalTaxExpenseBenefit (1.0)us-gaap_CurrentStateAndLocalTaxExpenseBenefit 3.2us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Total                 49.2us-gaap_CurrentIncomeTaxExpenseBenefit (25.3)us-gaap_CurrentIncomeTaxExpenseBenefit 42.1us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred                 2.7us-gaap_DeferredOtherTaxExpenseBenefit 57.5us-gaap_DeferredOtherTaxExpenseBenefit (9.1)us-gaap_DeferredOtherTaxExpenseBenefit
Total income taxes expense 17.3us-gaap_IncomeTaxExpenseBenefit 19.1us-gaap_IncomeTaxExpenseBenefit 13.1us-gaap_IncomeTaxExpenseBenefit 2.4us-gaap_IncomeTaxExpenseBenefit 7.1us-gaap_IncomeTaxExpenseBenefit 6.4us-gaap_IncomeTaxExpenseBenefit 12.8us-gaap_IncomeTaxExpenseBenefit 5.9us-gaap_IncomeTaxExpenseBenefit 51.9us-gaap_IncomeTaxExpenseBenefit 32.2us-gaap_IncomeTaxExpenseBenefit 33.0us-gaap_IncomeTaxExpenseBenefit
Difference of Income tax expense from amounts computed by applying the statutory federal rate to income from continuing operations before income taxes                      
Computed federal income tax expense (as a percent)                 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State income tax (as a percent)                 2.20%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.90%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 0.60%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Deferred tax adjustment (as a percent)                 (0.90%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance   (1.60%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Transactions costs (as a percent)                 1.40%us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense    
Separation costs (as a percent)                     2.00%us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseRestructuringCharges
Unrecognized tax benefit (as a percent)                 (0.40%)matx_EffectiveIncomeTaxRateReconciliationUnrecognizedTaxBenefit (2.10%)matx_EffectiveIncomeTaxRateReconciliationUnrecognizedTaxBenefit 1.70%matx_EffectiveIncomeTaxRateReconciliationUnrecognizedTaxBenefit
Valuation allowance                 3.30%matx_EffectiveIncomeTaxRateReconciliationChangeinDeferredTaxAssetsValuationAllowanceForeignSubsidiaryEarningsLoss    
Other-net (as a percent)                 1.70%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 1.70%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 1.10%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Effective income tax rate, Percent, Total                 42.30%us-gaap_EffectiveIncomeTaxRateContinuingOperations 37.50%us-gaap_EffectiveIncomeTaxRateContinuingOperations 38.80%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Deferred tax assets:                      
Benefit plans 63.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits       41.8us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits       63.6us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits 41.8us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsEmployeeBenefits  
Insurance reserves 11.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance       10.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance       11.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance 10.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsSelfInsurance  
Allowance for doubtful accounts 1.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts       1.3us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts       1.4us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts 1.3us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts  
Reserves 2.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves       6.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves       2.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves 6.0us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsReserves  
Foreign losses and unremitted earnings 4.1us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings       3.1us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings       4.1us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings 3.1us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings  
Alternative minimum tax credits 1.5us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax       1.4us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax       1.5us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax 1.4us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax  
Other 0.8us-gaap_DeferredTaxAssetsOther       (0.2)us-gaap_DeferredTaxAssetsOther       0.8us-gaap_DeferredTaxAssetsOther (0.2)us-gaap_DeferredTaxAssetsOther  
Total deferred tax assets 84.9us-gaap_DeferredTaxAssetsGross       63.4us-gaap_DeferredTaxAssetsGross       84.9us-gaap_DeferredTaxAssetsGross 63.4us-gaap_DeferredTaxAssetsGross  
Valuation allowance (4.1)us-gaap_DeferredTaxAssetsValuationAllowance               (4.1)us-gaap_DeferredTaxAssetsValuationAllowance    
Total deferred tax assets, net of valuation allowance 80.8us-gaap_DeferredTaxAssetsNet       63.4us-gaap_DeferredTaxAssetsNet       80.8us-gaap_DeferredTaxAssetsNet 63.4us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities:                      
Basis differences for property and equipment 252.7us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment       278.0us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment       252.7us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment 278.0us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Capital Construction Fund 106.9matx_DeferredTaxLiabilitiesDeposits       83.4matx_DeferredTaxLiabilitiesDeposits       106.9matx_DeferredTaxLiabilitiesDeposits 83.4matx_DeferredTaxLiabilitiesDeposits  
Joint ventures and other investments 7.7us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates       4.6us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates       7.7us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates 4.6us-gaap_DeferredTaxLiabilitiesInvestmentInNoncontrolledAffiliates  
Deferred revenue 10.1us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets       11.4us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets       10.1us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets 11.4us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets  
Amortization 3.8matx_DeferredTaxLiabilitiesAmortization       3.0matx_DeferredTaxLiabilitiesAmortization       3.8matx_DeferredTaxLiabilitiesAmortization 3.0matx_DeferredTaxLiabilitiesAmortization  
Total deferred tax liabilities 381.2us-gaap_DeferredIncomeTaxLiabilities       380.4us-gaap_DeferredIncomeTaxLiabilities       381.2us-gaap_DeferredIncomeTaxLiabilities 380.4us-gaap_DeferredIncomeTaxLiabilities  
Net deferred tax liability $ 300.4us-gaap_DeferredTaxAssetsLiabilitiesNet       $ 317.0us-gaap_DeferredTaxAssetsLiabilitiesNet       $ 300.4us-gaap_DeferredTaxAssetsLiabilitiesNet $ 317.0us-gaap_DeferredTaxAssetsLiabilitiesNet