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CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY (USD $)
In Thousands, unless otherwise specified
Total
Registered Shares
Additional Paid-in Capital
Treasury Shares
Retained Earnings
Accumulated Other Comprehensive Income (Loss)
Balance at Mar. 31, 2013 $ 721,953us-gaap_StockholdersEquity $ 30,148us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 0us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ (179,990)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 966,924us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (95,129)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Balance (in shares) at Mar. 31, 2013   173,106us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
  13,855us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Increase (Decrease) in Shareholders' Equity            
Total comprehensive income (loss) 66,926us-gaap_ComprehensiveIncomeNetOfTax       63,686us-gaap_ComprehensiveIncomeNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
3,240us-gaap_ComprehensiveIncomeNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Tax effects from share-based awards (2,569)logi_DeferredTaxAssetAdjustmentRelatedToShareBasedCompensationExpense   (2,569)logi_DeferredTaxAssetAdjustmentRelatedToShareBasedCompensationExpense
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
     
Sales of shares upon exercise of options and purchase rights 8,450us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation   1,892us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
22,501us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
(15,943)us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
 
Sales of shares upon exercise of options and purchase rights (in shares)       (1,327)us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Issuance of shares upon vesting of restricted stock units (2,922)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures   (16,886)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
13,964us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Issuance of shares upon vesting of restricted stock units (in shares)       (817)us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Share-based compensation expense 17,563us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue   17,563us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
     
Cash dividends (36,123)us-gaap_DividendsCommonStockCash       (36,123)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
 
Balance at Dec. 31, 2013 773,278us-gaap_StockholdersEquity 30,148us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
0us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
(143,525)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
978,544us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(91,889)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Balance (in shares) at Dec. 31, 2013   173,106us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
  11,711us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Balance at Mar. 31, 2014 804,128us-gaap_StockholdersEquity 30,148us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
0us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
(116,510)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
976,292us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(85,802)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Balance (in shares) at Mar. 31, 2014   173,106us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
  10,206us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Increase (Decrease) in Shareholders' Equity            
Total comprehensive income (loss) 115,496us-gaap_ComprehensiveIncomeNetOfTax       118,550us-gaap_ComprehensiveIncomeNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(3,054)us-gaap_ComprehensiveIncomeNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Tax effects from share-based awards 842logi_DeferredTaxAssetAdjustmentRelatedToShareBasedCompensationExpense   842logi_DeferredTaxAssetAdjustmentRelatedToShareBasedCompensationExpense
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
     
Sales of shares upon exercise of options and purchase rights 2,466us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation   (1,609)us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
4,075us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Sales of shares upon exercise of options and purchase rights (in shares)       (238)us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Issuance of shares upon vesting of restricted stock units (7,456)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures   (18,438)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
18,764us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
(7,782)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
 
Issuance of shares upon vesting of restricted stock units (in shares)       (1,059)us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Share-based compensation expense 20,283us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue   20,283us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
     
Repurchase of ESPP awards (1,078)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationEmployeeStockPurchaseProgramRequisiteServicePeriodRecognition   (1,078)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationEmployeeStockPurchaseProgramRequisiteServicePeriodRecognition
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
     
Cash dividends (43,767)us-gaap_DividendsCommonStockCash       (43,767)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
 
Balance at Dec. 31, 2014 $ 890,914us-gaap_StockholdersEquity $ 30,148us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 0us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
$ (93,671)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 1,043,293us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
$ (88,856)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
Balance (in shares) at Dec. 31, 2014   173,106us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
  8,909us-gaap_CommonStockSharesOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember