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Income Taxes - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Apr. 30, 2015
Apr. 30, 2014
Apr. 30, 2015
Apr. 30, 2014
Jul. 31, 2014
Income Taxes [Line Items]          
U.S. Federal statutory tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate  
Discrete tax benefit $ 2.9us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate   $ 3.7us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 10.6us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate  
Discrete tax items, favorable changes in reserves for uncertain tax positions 3.0alog_IncomeTaxReconciliationExpirationOfStatuteOfLimitationsAndRelatedInterest 0.2alog_IncomeTaxReconciliationExpirationOfStatuteOfLimitationsAndRelatedInterest 3.0alog_IncomeTaxReconciliationExpirationOfStatuteOfLimitationsAndRelatedInterest    
Discrete tax items, miscellaneous favorables/unfavorable (0.1)us-gaap_IncomeTaxReconciliationOtherAdjustments 0.4us-gaap_IncomeTaxReconciliationOtherAdjustments (0.1)us-gaap_IncomeTaxReconciliationOtherAdjustments    
Remeasurement of tax reserves on a reduction in uncertain federal tax credits for R&D     0.8us-gaap_IncomeTaxReconciliationTaxCreditsResearch 0.9us-gaap_IncomeTaxReconciliationTaxCreditsResearch  
Discrete tax items, unfavorable adjustment to a deferred item related to equity compensation   0.6us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost      
Reduction of taxes from change in branch accounting for Canadian operations       8.8us-gaap_IncomeTaxExpenseBenefitContinuingOperationsAdjustmentOfDeferredTaxAssetLiability  
Other items       0.9us-gaap_IncomeTaxReconciliationOtherReconcilingItems  
Unrecognized tax benefits, accrued interest and penalties 0.3us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   0.3us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   0.6us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Unrecognized tax benefits, for uncertain tax positions $ 4.4us-gaap_UnrecognizedTaxBenefits   $ 4.4us-gaap_UnrecognizedTaxBenefits