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SIGNIFICANT ACCOUNTING POLICIES (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Fiscal Year      
Fiscal period 364 days 364 days 364 days
Cash and Cash Equivalents      
Outstanding checks in excess of funds on deposits $ 18.9us-gaap_BankOverdrafts $ 19.8us-gaap_BankOverdrafts  
Fair value of financial instruments      
Cash and cash equivalents 293.4us-gaap_CashAndCashEquivalentsFairValueDisclosure 114.5us-gaap_CashAndCashEquivalentsFairValueDisclosure  
Accounts receivable, net 197.6us-gaap_ReceivablesFairValueDisclosure 182.3us-gaap_ReceivablesFairValueDisclosure  
Fixed rate debt 395.7us-gaap_LongTermDebtFairValue 292.7us-gaap_LongTermDebtFairValue  
Accounts Receivable      
Eligible accounts receivable assigned to the CCF 150.7matx_AccruedDepositsToCapitalConstructionFund 112.0matx_AccruedDepositsToCapitalConstructionFund  
Allowance for doubtful accounts      
Balance at Beginning of year 4.1us-gaap_AllowanceForDoubtfulAccountsReceivable 4.7us-gaap_AllowanceForDoubtfulAccountsReceivable 5.3us-gaap_AllowanceForDoubtfulAccountsReceivable
Expense 1.8us-gaap_ProvisionForDoubtfulAccounts 0.6us-gaap_ProvisionForDoubtfulAccounts 0.7us-gaap_ProvisionForDoubtfulAccounts
Write-offs and Other (0.9)us-gaap_AllowanceForDoubtfulAccountsReceivableWriteOffs (1.2)us-gaap_AllowanceForDoubtfulAccountsReceivableWriteOffs (1.3)us-gaap_AllowanceForDoubtfulAccountsReceivableWriteOffs
Balance at End of Year 5.0us-gaap_AllowanceForDoubtfulAccountsReceivable 4.1us-gaap_AllowanceForDoubtfulAccountsReceivable 4.7us-gaap_AllowanceForDoubtfulAccountsReceivable
Prepaid and Other Assets:      
Prepaid expenses and other assets includes diesel and heavy fuel oil expense that is primarily aboard the company's vessels 11.0us-gaap_PrepaidExpenseAndOtherAssets 13.8us-gaap_PrepaidExpenseAndOtherAssets  
Income tax receivable 0us-gaap_IncomeTaxReceivable 14.2us-gaap_IncomeTaxReceivable  
Other prepaid expenses 9.5us-gaap_PrepaidExpenseCurrentAndNoncurrent 15.0us-gaap_PrepaidExpenseCurrentAndNoncurrent  
Carrying value      
Fair value of financial instruments      
Cash and cash equivalents 293.4us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
114.5us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
 
Accounts receivable, net 197.6us-gaap_ReceivablesFairValueDisclosure
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
182.3us-gaap_ReceivablesFairValueDisclosure
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
 
Fixed rate debt 373.6us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
286.1us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
 
Total | Quoted Prices in Active Markets (Level 1)      
Fair value of financial instruments      
Cash and cash equivalents 293.4us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
114.5us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
 
Total | Significant Observable Inputs (Level 2)      
Fair value of financial instruments      
Accounts receivable, net 197.6us-gaap_ReceivablesFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
182.3us-gaap_ReceivablesFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
 
Fixed rate debt $ 395.7us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
$ 292.7us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember