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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 27, 2015
Rate
Mar. 28, 2014
Rate
Dec. 31, 2008
Dec. 31, 2014
Dec. 08, 2011
Jan. 23, 2012
Mar. 29, 2013
Income Tax Contingency [Line Items]              
Income Taxes Paid     $ 18.0us-gaap_IncomeTaxesPaid        
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate            
Effective Tax Rate 6.70%us-gaap_EffectiveIncomeTaxRateContinuingOperations 10.50%us-gaap_EffectiveIncomeTaxRateContinuingOperations          
Effective Income Tax Rate Reconciliation, Tax Credit, Foreign, Amount 7.1us-gaap_IncomeTaxReconciliationTaxCreditsForeign            
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations   4.0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations          
Other Tax Expense (Benefit)   0.9us-gaap_OtherTaxExpenseBenefit          
Unrecognized Tax Benefits 348.9us-gaap_UnrecognizedTaxBenefits     341.1us-gaap_UnrecognizedTaxBenefits      
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued 47.3us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued     45.8us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued      
Deferred Charge, Current 2.2altr_DeferredChargeCurrent            
Deferred Charge, Non-current 16.4altr_DeferredChargeNoncurrent            
Business Combination, Indemnification Assets, Amount as of Acquisition Date 6.5us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate            
Tax Return Examination Years 2002 through 2004 [Member]              
Income Tax Contingency [Line Items]              
Income Tax Examination, Liability (Refund) Adjustment from Settlement with Taxing Authority         19.8us-gaap_IncomeTaxExaminationLiabilityRefundAdjustmentFromSettlementWithTaxingAuthority
/ altr_TaxReturnYearsUnderExaminationAxis
= altr_TaxReturnExaminationYears2002Through2004Member
   
Tax Return Examination Years 2005 through 2007 [Member]              
Income Tax Contingency [Line Items]              
Income Tax Examination, Liability (Refund) Adjustment from Settlement with Taxing Authority           21.4us-gaap_IncomeTaxExaminationLiabilityRefundAdjustmentFromSettlementWithTaxingAuthority
/ altr_TaxReturnYearsUnderExaminationAxis
= altr_TaxReturnExaminationYears2005Through2007Member
 
Tax Return Examination Years 2004 through 2007 [Member]              
Income Tax Contingency [Line Items]              
Income Tax Examination, Liability (Refund) Adjustment from Settlement with Taxing Authority             $ (6.8)us-gaap_IncomeTaxExaminationLiabilityRefundAdjustmentFromSettlementWithTaxingAuthority
/ altr_TaxReturnYearsUnderExaminationAxis
= altr_TaxReturnExaminationYears2004through2007Member