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Financing Arrangements (Details) (USD $)
In Millions, unless otherwise specified
9 Months Ended 0 Months Ended 3 Months Ended
Feb. 28, 2015
Feb. 28, 2014
Mar. 24, 2015
Feb. 28, 2015
Feb. 28, 2014
May 31, 2014
Nov. 30, 2014
Financing Arrangements              
Total debt $ 643.3us-gaap_DebtLongtermAndShorttermCombinedAmount     $ 643.3us-gaap_DebtLongtermAndShorttermCombinedAmount   $ 634.0us-gaap_DebtLongtermAndShorttermCombinedAmount  
Current maturities of debt (43.9)us-gaap_DebtCurrent     (43.9)us-gaap_DebtCurrent   (69.7)us-gaap_DebtCurrent  
Long-term debt 599.4us-gaap_LongTermDebtNoncurrent     599.4us-gaap_LongTermDebtNoncurrent   564.3us-gaap_LongTermDebtNoncurrent  
Interest expense              
Amortization of discount 2.0us-gaap_AmortizationOfDebtDiscountPremium 4.6us-gaap_AmortizationOfDebtDiscountPremium          
7.25% Senior Notes              
Financing Arrangements              
Interest rate (as a percent) 7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
    7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Interest expense              
Redemption value of senior notes 325air_DebtInstrumentRedemptionValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
    325air_DebtInstrumentRedemptionValue
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Make-whole premium of redemeed notes 45air_PremiumIncludedInRedemptionPrice
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
    45air_PremiumIncludedInRedemptionPrice
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
     
Credit Facility Amendment              
Interest expense              
Maximum borrowing capacity under the credit agreement before amendment     475air_LineOfCreditFacilityMaximumBorrowingCapacityBeforeAmendment
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
       
Extended maturity period     2 years        
Maximum borrowing capacity     500us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
       
Increase in borrowing capacity     250air_LineOfCreditFacilityAdditionalBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
       
Total borrowing capacity     750air_LineOfCreditFacilityMaximumAndAdditionalBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_RevolvingCreditFacilityMember
       
Revolving credit facility expiring April 24, 2018 with interest payable monthly              
Financing Arrangements              
Total debt 185.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_LineOfCreditMember
    185.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_LineOfCreditMember
  130.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_LineOfCreditMember
 
Secured credit facility (secured by aircraft and related engines and components) due April 23, 2015 with floating interest rate, payable monthly              
Financing Arrangements              
Total debt 23.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_LineOfCreditFacilityExpiring2015Member
    23.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_LineOfCreditFacilityExpiring2015Member
  29.9us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_LineOfCreditFacilityExpiring2015Member
 
Note payable due March 9, 2017 with floating interest rate, payable semi-annually on June 1 and December 1              
Financing Arrangements              
Total debt 20.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayableDue2017Member
    20.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayableDue2017Member
  30.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayableDue2017Member
 
Notes payable due January 15, 2022 with interest at 7.25% payable semi-annually on January 15 and July 15              
Financing Arrangements              
Interest rate (as a percent) 7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentDue2022Member
    7.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentDue2022Member
     
Total debt 332.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentDue2022Member
    332.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentDue2022Member
  332.6us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentDue2022Member
 
Convertible notes payable              
Financing Arrangements              
Carrying value of long-term debt 49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
 
Long-term debt:              
Principal amount 49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  49.8us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
 
Unamortized discount (2.5)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    (2.5)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  (4.1)us-gaap_DebtInstrumentUnamortizedDiscount
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
 
Net carrying amount 47.3us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    47.3us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  45.7us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
 
Equity component, net of tax 20.6us-gaap_DebtInstrumentConvertibleCarryingAmountOfTheEquityComponent
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    20.6us-gaap_DebtInstrumentConvertibleCarryingAmountOfTheEquityComponent
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  20.6us-gaap_DebtInstrumentConvertibleCarryingAmountOfTheEquityComponent
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
 
Interest expense              
Coupon interest 1.2us-gaap_InterestExpenseDebtExcludingAmortization
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
2.5us-gaap_InterestExpenseDebtExcludingAmortization
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  0.3us-gaap_InterestExpenseDebtExcludingAmortization
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
0.8us-gaap_InterestExpenseDebtExcludingAmortization
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
   
Amortization of deferred financing fees 0.1us-gaap_AmortizationOfFinancingCosts
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
0.3us-gaap_AmortizationOfFinancingCosts
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
    0.1us-gaap_AmortizationOfFinancingCosts
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
   
Amortization of discount 1.7us-gaap_AmortizationOfDebtDiscountPremium
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
4.4us-gaap_AmortizationOfDebtDiscountPremium
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  0.4us-gaap_AmortizationOfDebtDiscountPremium
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
1.5us-gaap_AmortizationOfDebtDiscountPremium
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
   
Interest expense related to convertible notes 3.0us-gaap_InterestExpenseDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
7.2us-gaap_InterestExpenseDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
  0.7us-gaap_InterestExpenseDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
2.4us-gaap_InterestExpenseDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_ConvertibleNotesPayableMember
   
Convertible notes payable due February 1, 2015 with interest at 1.75% payable semi-annually on February 1 and August 1              
Financing Arrangements              
Interest rate (as a percent) 1.75%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
    1.75%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
    1.75%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
Amount of convertible notes repurchased             30.0us-gaap_DebtInstrumentRepurchasedFaceAmount
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
Cash paid for convertible notes repurchased             31.1us-gaap_DebtInstrumentRepurchaseAmount
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
Accrued interest             1.1us-gaap_AccruedLiabilitiesCurrentAndNoncurrent
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
Long-term debt:              
Net carrying amount 0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
    0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
  29.8us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable1.75PercentDue2015Member
 
Convertible notes payable due March 1, 2016 with interest at 2.25% payable semi-annually on March 1 and September 1              
Financing Arrangements              
Interest rate (as a percent) 2.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
    2.25%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
     
Total debt 47.3us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
    47.3us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
  45.7us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
 
Long-term debt:              
Effective interest rate (as a Percent) 7.41%us-gaap_DebtInstrumentInterestRateEffectivePercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
    7.41%us-gaap_DebtInstrumentInterestRateEffectivePercentage
/ us-gaap_DebtInstrumentAxis
= air_ConvertibleNotesPayable2.25PercentDue2016Member
     
7.25% bonds, 1.75% and 2.25% convertible notes              
Financing Arrangements              
Carrying value of long-term debt 379.4us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
    379.4us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
     
Long-term debt:              
Principal amount 379.4us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
    379.4us-gaap_DebtInstrumentCarryingAmount
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
     
7.25% bonds, 1.75% and 2.25% convertible notes | Significant other observable inputs (Level 2)              
Financing Arrangements              
Estimated fair value of long-term debt 407.6us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
    407.6us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= air_NotesPayable7.25PercentAndConvertibleNotesPayable1.75And2.25PercentMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
     
Remaining variable rate and fixed rate debt | Significant other unobservable inputs (Level 3)              
Financing Arrangements              
Estimated fair value of long-term debt 264.0us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= air_RemainingVariableAndFixedRateDebtMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
    264.0us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= air_RemainingVariableAndFixedRateDebtMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
     
Mortgage loan (secured by Wood Dale, Illinois facility) due August 1, 2015 with interest at 5.01%              
Long-term debt:              
Net carrying amount 11.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_MortgagesMember
    11.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_MortgagesMember
  11.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_MortgagesMember
 
Industrial revenue bond (secured by property, plant and equipment) due August 1, 2018              
Long-term debt:              
Net carrying amount 25.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_BondsMember
    25.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_BondsMember
  25.0us-gaap_LongTermDebt
/ us-gaap_DebtInstrumentAxis
= us-gaap_BondsMember
 
Other              
Financing Arrangements              
Total debt $ 36.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_OtherRecourseDebtMember
    $ 36.0us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_OtherRecourseDebtMember
  $ 65.8us-gaap_DebtLongtermAndShorttermCombinedAmount
/ us-gaap_DebtInstrumentAxis
= air_OtherRecourseDebtMember