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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2013
Components of earnings (loss) from continuing operations before income taxes [Abstract]        
United States   $ 31.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 14.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 10.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic
Foreign   10.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 9.9us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign (23.2)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
Earnings (loss) from continuing operations before income taxes   41.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 24.0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments (13.0)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Federal [Abstract]        
Current   0.4us-gaap_CurrentFederalTaxExpenseBenefit (2.0)us-gaap_CurrentFederalTaxExpenseBenefit 2.6us-gaap_CurrentFederalTaxExpenseBenefit
Deferred   7.1us-gaap_DeferredFederalIncomeTaxExpenseBenefit (95.8)us-gaap_DeferredFederalIncomeTaxExpenseBenefit (2.6)us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State [Abstract]        
Current   0us-gaap_CurrentStateAndLocalTaxExpenseBenefit 0.2us-gaap_CurrentStateAndLocalTaxExpenseBenefit 0.2us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Deferred   1.1us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (21.4)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (0.2)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Foreign [Abstract]        
Current   12.7us-gaap_CurrentForeignTaxExpenseBenefit 10.0us-gaap_CurrentForeignTaxExpenseBenefit 6.4us-gaap_CurrentForeignTaxExpenseBenefit
Deferred   (2.3)us-gaap_DeferredForeignIncomeTaxExpenseBenefit 1.1us-gaap_DeferredForeignIncomeTaxExpenseBenefit 3.4us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Total income tax expense (benefit)   19.0us-gaap_IncomeTaxExpenseBenefit (107.9)us-gaap_IncomeTaxExpenseBenefit 9.8us-gaap_IncomeTaxExpenseBenefit
Reconciliation of federal statutory income tax rate to company's effective income tax rate [Abstract]        
Statutory federal tax (in hundredths)   35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
State taxes, net of federal benefit (in hundredths)   2.40%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes 2.10%us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes (1.30%)us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes
Taxes on non-U.S. earnings and losses (in hundredths)   (4.90%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (3.80%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential (23.80%)us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential
Valuation allowance (in hundredths)   8.30%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance (471.70%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance (59.30%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Tax credits (in hundredths)   (6.10%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits (7.10%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits 37.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits
Compensation (in hundredths)   1.00%mod_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCostAndOther 0.40%mod_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCostAndOther (13.00%)mod_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCostAndOther
Tax rate or law changes   1.20%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate (9.20%)us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate 0.90%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate
Uncertain tax positions net of settlements   2.20%us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies 0.40%us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies (41.90%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxContingencies
Brazil interest on equity   0.00%us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsOther (1.70%)us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsOther 3.20%us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsOther
Dividend repatriation (in hundredths)   2.40%us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings 5.80%us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings (11.40%)us-gaap_EffectiveIncomeTaxRateReconciliationRepatriationOfForeignEarnings
Other (in hundredths)   4.60%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.20%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments (0.80%)us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Effective tax rate (in hundredths)   46.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations (449.60%)us-gaap_EffectiveIncomeTaxRateContinuingOperations (75.40%)us-gaap_EffectiveIncomeTaxRateContinuingOperations
Valuation Allowance [Line Items]        
Reversal of deferred tax asset valuation allowances 119.2us-gaap_ValuationAllowancesAndReservesPeriodIncreaseDecrease   119.2us-gaap_ValuationAllowancesAndReservesPeriodIncreaseDecrease  
Foreign tax benefit from law change     2.2us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAdjustmentOfDeferredTaxAssetLiability  
Deferred tax assets [Abstract]        
Accounts receivable 0.2mod_DeferredTaxAssetsAccountsReceivable 0.3mod_DeferredTaxAssetsAccountsReceivable 0.2mod_DeferredTaxAssetsAccountsReceivable  
Inventories 4.1us-gaap_DeferredTaxAssetsInventory 3.8us-gaap_DeferredTaxAssetsInventory 4.1us-gaap_DeferredTaxAssetsInventory  
Plant and equipment 2.4us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment 0.8us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment 2.4us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment  
Pension and employee benefits 39.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits 50.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits 39.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits  
Net operating loss, capital loss and credit carryforwards 122.4mod_DeferredTaxAssetsOperatingLossCapitalLossAndCreditCarryforwards 105.0mod_DeferredTaxAssetsOperatingLossCapitalLossAndCreditCarryforwards 122.4mod_DeferredTaxAssetsOperatingLossCapitalLossAndCreditCarryforwards  
Other, principally accrued liabilities 10.3us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilities 6.8us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilities 10.3us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilities  
Total gross deferred tax assets 178.5us-gaap_DeferredTaxAssetsGross 167.2us-gaap_DeferredTaxAssetsGross 178.5us-gaap_DeferredTaxAssetsGross  
Less: valuation allowance (61.2)us-gaap_DeferredTaxAssetsValuationAllowance (48.0)us-gaap_DeferredTaxAssetsValuationAllowance (61.2)us-gaap_DeferredTaxAssetsValuationAllowance  
Net deferred tax assets 117.3us-gaap_DeferredTaxAssetsNet 119.2us-gaap_DeferredTaxAssetsNet 117.3us-gaap_DeferredTaxAssetsNet  
Deferred tax liabilities [Abstract]        
Goodwill 4.2us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsGoodwill 0.6us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsGoodwill 4.2us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsGoodwill  
Plant and equipment 7.6us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment 5.3us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment 7.6us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment  
Other 1.7us-gaap_DeferredTaxLiabilitiesOther 1.0us-gaap_DeferredTaxLiabilitiesOther 1.7us-gaap_DeferredTaxLiabilitiesOther  
Total gross deferred tax liabilities 13.5us-gaap_DeferredIncomeTaxLiabilities 6.9us-gaap_DeferredIncomeTaxLiabilities 13.5us-gaap_DeferredIncomeTaxLiabilities  
Net deferred tax asset (liability) 103.8us-gaap_DeferredTaxAssetsLiabilitiesNet 112.3us-gaap_DeferredTaxAssetsLiabilitiesNet 103.8us-gaap_DeferredTaxAssetsLiabilitiesNet  
Current deferred tax asset 13.0us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent 13.4us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent 13.0us-gaap_DeferredTaxAssetsLiabilitiesNetCurrent  
Noncurrent deferred tax asset 98.6us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent 102.7us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent 98.6us-gaap_DeferredTaxAssetsLiabilitiesNetNoncurrent  
Current deferred tax liability (other current liabilities) (0.5)us-gaap_DeferredTaxLiabilitiesCurrent (0.4)us-gaap_DeferredTaxLiabilitiesCurrent (0.5)us-gaap_DeferredTaxLiabilitiesCurrent  
Noncurrent deferred tax liability (7.3)us-gaap_DeferredTaxLiabilitiesNoncurrent (3.4)us-gaap_DeferredTaxLiabilitiesNoncurrent (7.3)us-gaap_DeferredTaxLiabilitiesNoncurrent  
Reconciliation of unrecognized tax benefits [Roll Forward]        
Balance, April 1   2.1us-gaap_UnrecognizedTaxBenefits 9.0us-gaap_UnrecognizedTaxBenefits  
Gross increases - tax positions in prior period   3.1us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 2.5us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions  
Gross decreases - tax positions in prior period   0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (7.0)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions  
Gross increases - tax positions in current period   0.4us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0.1us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Settlements   0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (1.9)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities  
Lapse of statute of limitations   0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (0.8)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations  
Effect of exchange rate changes   0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromForeignCurrencyTranslation 0.2us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromForeignCurrencyTranslation  
Balance, March 31 2.1us-gaap_UnrecognizedTaxBenefits 5.6us-gaap_UnrecognizedTaxBenefits 2.1us-gaap_UnrecognizedTaxBenefits 9.0us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits that would impact effective tax rate   3.0us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Unrecognized tax benefits accrued interest and penalties 0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 0us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued  
Undistributed foreign earnings [Abstract]        
Tax on undistributed earnings of certain joint equity investment   0.8us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings    
Undistributed earnings in remaining foreign operations   442.0us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Foreign Tax Jurisdictions [Member]        
Tax Credit Carryforward [Line Items]        
Foreign tax credit carry forwards   1.8us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign
/ us-gaap_TaxCreditCarryforwardAxis
= us-gaap_ForeignCountryMember
   
Foreign Tax Jurisdictions [Member] | Minimum [Member]        
Tax Credit Carryforward [Line Items]        
Tax loss credit carryforward, expiration date   Mar. 31, 2016    
Foreign Tax Jurisdictions [Member] | Maximum [Member]        
Tax Credit Carryforward [Line Items]        
Tax loss credit carryforward, expiration date   Mar. 31, 2017    
Federal and State [Member]        
Tax Credit Carryforward [Line Items]        
Tax credit carryforwards, research and development   20.9us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch
/ us-gaap_TaxCreditCarryforwardAxis
= us-gaap_StateAndLocalJurisdictionMember
   
Federal and State [Member] | Minimum [Member]        
Tax Credit Carryforward [Line Items]        
Tax loss credit carryforward, expiration date   Mar. 31, 2018    
Federal and State [Member] | Maximum [Member]        
Tax Credit Carryforward [Line Items]        
Tax loss credit carryforward, expiration date   Mar. 31, 2035    
Foreign Tax Jurisdictions [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards   186.0us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
   
Tax losses subject to expiration   159.3mod_OperatingLossesCarryforwardSubjectToExpiration
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
   
Tax losses not subject to expiration   145.3mod_OperatingLossesCarryforwardNotSubjectToExpiration
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_ForeignCountryMember
   
Foreign Tax Jurisdictions [Member] | Minimum [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards, expiration date   Mar. 31, 2016    
Foreign Tax Jurisdictions [Member] | Maximum [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards, expiration date   Mar. 31, 2034    
State and Local [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards   304.6us-gaap_OperatingLossCarryforwards
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
   
State and Local [Member] | Minimum [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards, expiration date   Mar. 31, 2016    
State and Local [Member] | Maximum [Member]        
Operating Loss Carryforwards [Line Items]        
Tax loss carryforwards, expiration date   Mar. 31, 2034    
Austria [Member]        
Income Tax Examination [Line Items]        
Open tax year for examination by tax jurisdictions   Fiscal 2012 - 2014    
Brazil [Member]        
Income Tax Examination [Line Items]        
Open tax year for examination by tax jurisdictions   Calendar 2010 - 2014    
Germany [Member]        
Income Tax Examination [Line Items]        
Open tax year for examination by tax jurisdictions   Fiscal 2011 - 2014    
United States [Member]        
Income Tax Examination [Line Items]        
Open tax year for examination by tax jurisdictions   Fiscal 2012 - 2014    
Foreign Tax Jurisdictions [Member]        
Valuation Allowance [Line Items]        
Valuation allowance recorded against deferred tax assets   $ 2.6us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= us-gaap_ForeignCountryMember
$ 12.3us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
/ us-gaap_ValuationAllowanceByDeferredTaxAssetAxis
= us-gaap_ForeignCountryMember