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SIGNIFICANT ACCOUNTING POLICIES (Details 5) (USD $)
In Millions, except Per Share data, 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
Net Income                      
Net income from continuing operations                 $ 70.8us-gaap_IncomeLossFromContinuingOperations $ 53.7us-gaap_IncomeLossFromContinuingOperations $ 52.0us-gaap_IncomeLossFromContinuingOperations
Loss from discontinued operations                 0us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity 0us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity (6.1)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxAttributableToReportingEntity
Net Income $ 27.8us-gaap_NetIncomeLoss $ 21.5us-gaap_NetIncomeLoss $ 18.1us-gaap_NetIncomeLoss $ 3.4us-gaap_NetIncomeLoss $ 7.3us-gaap_NetIncomeLoss $ 17.2us-gaap_NetIncomeLoss $ 20.1us-gaap_NetIncomeLoss $ 9.1us-gaap_NetIncomeLoss $ 70.8us-gaap_NetIncomeLoss $ 53.7us-gaap_NetIncomeLoss $ 45.9us-gaap_NetIncomeLoss
Weighted Average Common Shares                      
Income from continuing operations, Basic (in shares)                 43.0matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsBasic 42.7matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsBasic 42.3matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsBasic
Loss from discontinued operations, Basic (in shares)                 43.0matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsBasic 42.7matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsBasic 42.3matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsBasic
Effect of Dilutive Securities (in shares)                 0.4us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 0.4us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 0.4us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Income from continuing operations, Diluted (in shares)                 43.4matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsDiluted 43.1matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsDiluted 42.7matx_WeightedAverageNumberOfSharesOutstandingFromContinuingOperationsDiluted
Loss from discontinued operations, Diluted (in shares)                 43.4matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsDiluted 43.1matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsDiluted 42.7matx_WeightedAverageNumberOfSharesOutstandingFromDiscontinuedOperationsDiluted
Basic (in shares)                 43.0us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 42.7us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 42.3us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted (in shares)                 43.4us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 43.1us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 42.7us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Per Common Share Amount, Basic                      
Income from continuing operations (in dollars per share) $ 0.65us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.50us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.42us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.08us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.17us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.40us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.47us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 1.65us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 1.26us-gaap_IncomeLossFromContinuingOperationsPerBasicShare $ 1.23us-gaap_IncomeLossFromContinuingOperationsPerBasicShare
Loss from discontinued operations (in dollars per share)                     $ (0.14)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerBasicShare
Net income (in dollars per share)                 $ 1.65us-gaap_EarningsPerShareBasic $ 1.26us-gaap_EarningsPerShareBasic $ 1.09us-gaap_EarningsPerShareBasic
Per Common Share Amount, Diluted                      
Income from continuing operations (in dollars per share) $ 0.63us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.50us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.42us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.08us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.17us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.40us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.47us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 0.21us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 1.63us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 1.25us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare $ 1.22us-gaap_IncomeLossFromContinuingOperationsPerDilutedShare
Loss from discontinued operations (in dollars per share)                     $ (0.14)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTaxPerDilutedShare
Net income (in dollars per share)                 $ 1.63us-gaap_EarningsPerShareDiluted $ 1.25us-gaap_EarningsPerShareDiluted $ 1.08us-gaap_EarningsPerShareDiluted
Stock options                      
Earnings Per Share ("EPS")                      
Antidilutive securities excluded from computation of earnings per share (in shares)                 0.1us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember		 0.1us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember		 0.5us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EmployeeStockOptionMember