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Income Taxes (Details) (USD $)
 12 Months Ended
Dec. 27, 2014
Dec. 28, 2013
Dec. 29, 2012
Income Taxes [Abstract]      
Domestic $ 135,445,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 262,220,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 105,945,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic
Foreign 12,568,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 9,178,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 14,409,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
Income before income taxes 148,013,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 271,398,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 120,354,000us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Current tax expense [Abstract]      
Federal 45,723,000us-gaap_CurrentFederalTaxExpenseBenefit 69,565,000us-gaap_CurrentFederalTaxExpenseBenefit 33,152,000us-gaap_CurrentFederalTaxExpenseBenefit
Foreign 2,346,000us-gaap_CurrentForeignTaxExpenseBenefit 2,608,000us-gaap_CurrentForeignTaxExpenseBenefit 1,764,000us-gaap_CurrentForeignTaxExpenseBenefit
State and local 3,905,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit 6,723,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit 3,049,000us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Current tax expense 51,974,000us-gaap_CurrentIncomeTaxExpenseBenefit 78,896,000us-gaap_CurrentIncomeTaxExpenseBenefit 37,965,000us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred tax (benefit) expense [Abstract]      
Federal (2,469,000)us-gaap_DeferredFederalIncomeTaxExpenseBenefit 17,694,000us-gaap_DeferredFederalIncomeTaxExpenseBenefit 570,000us-gaap_DeferredFederalIncomeTaxExpenseBenefit
Foreign 890,000us-gaap_DeferredForeignIncomeTaxExpenseBenefit (376,000)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (2,015,000)us-gaap_DeferredForeignIncomeTaxExpenseBenefit
State and local (4,916,000)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit 1,895,000us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit 161,000us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Deferred tax (benefit) expense (6,495,000)us-gaap_DeferredIncomeTaxExpenseBenefit 19,213,000us-gaap_DeferredIncomeTaxExpenseBenefit (1,284,000)us-gaap_DeferredIncomeTaxExpenseBenefit
Income tax expense 45,479,000us-gaap_IncomeTaxExpenseBenefit 98,109,000us-gaap_IncomeTaxExpenseBenefit 36,681,000us-gaap_IncomeTaxExpenseBenefit
Undistributed earnings of foreign subsidiaries 75,000,000us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Income Tax Reconciliation [Abstract]      
Expected income tax expense 51,805,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 94,989,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 42,124,000us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State and local income tax, net of federal benefit 3,355,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 6,405,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 3,178,000us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
Effect of foreign statutory rate different from U.S. and other foreign adjustments (1,094,000)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential (1,026,000)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential (2,637,000)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential
Valuation allowance changes (5,732,000)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 0us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance (1,224,000)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
U.S. production activities deduction (4,025,000)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities (4,445,000)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities (2,975,000)us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities
Goodwill disposition 0us-gaap_IncomeTaxReconciliationNondeductibleExpenseImpairmentLosses 1,790,000us-gaap_IncomeTaxReconciliationNondeductibleExpenseImpairmentLosses 0us-gaap_IncomeTaxReconciliationNondeductibleExpenseImpairmentLosses
Tax contingency changes 0us-gaap_IncomeTaxReconciliationTaxContingencies (140,000)us-gaap_IncomeTaxReconciliationTaxContingencies (3,224,000)us-gaap_IncomeTaxReconciliationTaxContingencies
Other, net 1,170,000us-gaap_IncomeTaxReconciliationOtherAdjustments 536,000us-gaap_IncomeTaxReconciliationOtherAdjustments 1,439,000us-gaap_IncomeTaxReconciliationOtherAdjustments
Income tax expense 45,479,000us-gaap_IncomeTaxExpenseBenefit 98,109,000us-gaap_IncomeTaxExpenseBenefit 36,681,000us-gaap_IncomeTaxExpenseBenefit
Unrecognized Tax Benefits Reconciliation [Roll Forward]      
Beginning balance 2,828,000us-gaap_UnrecognizedTaxBenefits 3,259,000us-gaap_UnrecognizedTaxBenefits  
Increases related to prior year tax positions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions  
Increases related to current year tax positions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Decreases related to prior year tax positions (2,828,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions  
Decreases related to settlements with taxing authorities 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (431,000)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities  
Decreases due to lapses in the statute of limitations 0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations 0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations  
Ending balance 0us-gaap_UnrecognizedTaxBenefits 2,828,000us-gaap_UnrecognizedTaxBenefits 3,259,000us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits that would impact effective tax rate 0us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Deferred tax assets [Abstract]      
Inventories 12,815,000us-gaap_DeferredTaxAssetsInventory 11,136,000us-gaap_DeferredTaxAssetsInventory  
Other postretirement benefits and accrued items 14,550,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits 13,548,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits  
Pension 4,792,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPensions 0us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPensions  
Other reserves 10,262,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther 12,931,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther  
Federal and foreign tax attributes 6,451,000mli_DeferredTaxAssetTaxCreditFederalAndForeign 5,913,000mli_DeferredTaxAssetTaxCreditFederalAndForeign  
State tax attributes, net of federal benefit 22,928,000mli_DeferredTaxAssetTaxCreditStateAndLocal 24,663,000mli_DeferredTaxAssetTaxCreditStateAndLocal  
Share-based compensation 3,016,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost 2,486,000us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost  
Total deferred tax assets 74,814,000us-gaap_DeferredTaxAssetsGross 70,677,000us-gaap_DeferredTaxAssetsGross  
Less valuation allowance (17,119,000)us-gaap_DeferredTaxAssetsValuationAllowance (22,544,000)us-gaap_DeferredTaxAssetsValuationAllowance  
Deferred tax assets, net of valuation allowance 57,695,000us-gaap_DeferredTaxAssetsNet 48,133,000us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities [Abstract]      
Property, plant, and equipment 57,089,000us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment 60,425,000us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Pension 0mli_DeferredTaxLiabilitiesPensionExpenses 4,507,000mli_DeferredTaxLiabilitiesPensionExpenses  
Other 1,721,000us-gaap_DeferredTaxLiabilitiesOther 2,209,000us-gaap_DeferredTaxLiabilitiesOther  
Total deferred tax liabilities 58,810,000us-gaap_DeferredTaxLiabilities 67,141,000us-gaap_DeferredTaxLiabilities  
Net deferred tax liability (1,115,000)us-gaap_DeferredTaxAssetsLiabilitiesNet (19,008,000)us-gaap_DeferredTaxAssetsLiabilitiesNet  
State income tax credit carryforwards with expiration 4,100,000mli_StateIncomeTaxCreditCarryforwards    
Other state income tax credit carryforwards with unlimited life 11,100,000mli_OtherTaxCarryforwardNetAmount    
State net operating loss carryforwards with potential tax benefits 7,800,000us-gaap_OperatingLossCarryforwards    
Valuation allowances 11,800,000mli_StateTaxCreditsAndNetOperatingCarryforwardsOffsetByValuationAllowances    
Federal and foreign tax attributes with potential tax benefits 6,400,000mli_FederalAndForeignTaxAttributesWithPotentialTaxBenefits    
Federal and foreign tax attributes with potential tax benefits with unlimited life 4,500,000mli_FederalAndForeignTaxAttributesWithPotentialTaxBenefitsWithUnlimitedLife    
Federal and foreign tax attributes with potential tax benefits with expiration 1,900,000mli_FederalAndForeignTaxAttributesWithPotentialTaxBenefitsThatCanExpire    
Valuation allowances 3,400,000mli_FederalAndForeignTaxAttributesOffsetByValuationAllowances    
Additional valuation allowance per diluted share, State tax attributes (in dollars per share) $ 0.10mli_AdditionalValuationAllowancePerDilutedShareStateTaxAttributes   $ 0.02mli_AdditionalValuationAllowancePerDilutedShareStateTaxAttributes
Income taxes paid $ 47,300,000us-gaap_IncomeTaxesPaid $ 80,100,000us-gaap_IncomeTaxesPaid $ 38,400,000us-gaap_IncomeTaxesPaid