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Stockholders' Equity (Schedule of Stockholders' Equity) (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 9 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Mar. 31, 2014
Class of Stock [Line Items]          
Common stock, shares issued 87,504us-gaap_CommonStockSharesIssued   87,504us-gaap_CommonStockSharesIssued   87,353us-gaap_CommonStockSharesIssued
Common stock issuance     151us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans [1]    
Treasury stock, shares (12,477)us-gaap_TreasuryStockShares   (12,477)us-gaap_TreasuryStockShares   (13,264)us-gaap_TreasuryStockShares
Reissuance of treasury stock for stock option exercises     746us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised    
Reissuance of treasury stock for acquisition     41us-gaap_StockIssuedDuringPeriodSharesAcquisitions    
Dividends paid per common share     $ 1.65us-gaap_CommonStockDividendsPerShareCashPaid    
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     $ 1,840,649us-gaap_StockholdersEquity    
Net earnings 93,199us-gaap_NetIncomeLoss 82,759us-gaap_NetIncomeLoss 280,363us-gaap_NetIncomeLoss 262,427us-gaap_NetIncomeLoss  
Other comprehensive income (loss), net of tax (5,611)us-gaap_OtherComprehensiveIncomeLossNetOfTax (1,227)us-gaap_OtherComprehensiveIncomeLossNetOfTax (8,264)us-gaap_OtherComprehensiveIncomeLossNetOfTax (1,601)us-gaap_OtherComprehensiveIncomeLossNetOfTax  
Common stock issuances and reissuances of treasury stock - employee benefit plans     54,870us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation [2]    
Reissuance of treasury stock for acquisition (Note 3)     4,458us-gaap_StockIssuedDuringPeriodValueAcquisitions    
Excess tax benefit from stock option exercises     10,487us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation    
Dividends paid on common stock     (123,080)us-gaap_DividendsCommonStockCash    
Stock-based compensation     25,618us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue [3]    
Balance at December 31, 2014 2,085,101us-gaap_StockholdersEquity   2,085,101us-gaap_StockholdersEquity    
Common Stock [Member]          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     874us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
   
Issuance of common stock for purchases through the Employee Stock Purchase Plan     1us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
[2]    
Balance at December 31, 2014 875us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
  875us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
   
Capital In Excess of Par Value [Member]          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     789,789us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   
Common stock issuances and reissuances of treasury stock - employee benefit plans     11,936us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
[2]    
Reissuance of treasury stock for acquisition (Note 3)     1,368us-gaap_StockIssuedDuringPeriodValueAcquisitions
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   
Excess tax benefit from stock option exercises     10,487us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   
Stock-based compensation     25,618us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
[3]    
Balance at December 31, 2014 839,198us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
  839,198us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
   
Retained Earnings [Member]          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     2,047,843us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   
Net earnings     280,363us-gaap_NetIncomeLoss
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   
Reissuance of treasury stock for stock option exercises at lower than repurchase price     (13,187)arg_TreasuryStockReissuedAtLowerThanRepurchasePriceStockOptionsExercised
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
[2]    
Dividends paid on common stock     (123,080)us-gaap_DividendsCommonStockCash
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   
Balance at December 31, 2014 2,191,939us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
  2,191,939us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
   
Accumulated Other Comprehensive Income [Member]          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     529us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Other comprehensive income (loss), net of tax     (8,264)us-gaap_OtherComprehensiveIncomeLossNetOfTax
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Balance at December 31, 2014 (7,735)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
  (7,735)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AccumulatedOtherComprehensiveIncomeMember
   
Treasury Stock [Member]          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Balance at March 31, 2014     (998,386)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Reissuance of treasury stock for stock option exercises     56,120us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
[2]    
Reissuance of treasury stock for acquisition (Note 3)     3,090us-gaap_StockIssuedDuringPeriodValueAcquisitions
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
Balance at December 31, 2014 $ (939,176)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
  $ (939,176)us-gaap_StockholdersEquity
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
   
[1] Issuance of common stock for purchases through the Employee Stock Purchase Plan.
[2] Issuance of common stock for purchases through the Employee Stock Purchase Plan and reissuance of treasury stock for stock option exercises.
[3] The Company recognized compensation expense with a corresponding amount recorded to capital in excess of par value.