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Employee Benefit Plans (Deferred Compensation Plan Narrative) (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Deferred Compensation Plan    
Fair value of marketable securities $ 17,237us-gaap_TradingSecurities $ 16,611us-gaap_TradingSecurities
Deferred compensation liability 17,237us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent 16,611us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
Deferred Compensation Plan    
Deferred Compensation Plan    
Percentage of vested salary and incentive compensation deferrals permitted to eligible employees 100.00%logi_DeferredCompensationPlanCompensationDeferralsPercentage
/ us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis
= us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember
 
Deferred compensation liability 17,200us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis
= us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember
16,600us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis
= us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember
Deferred Compensation Plan | Other assets    
Deferred Compensation Plan    
Fair value of marketable securities $ 17,200us-gaap_TradingSecurities
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis
= us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember
$ 16,600us-gaap_TradingSecurities
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis
= us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember