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Condensed Consolidated Statements of Income (USD $)
In Millions, except Per Share data, unless otherwise specified
 3 Months Ended 6 Months Ended
Nov. 30, 2014
Nov. 30, 2013
Nov. 30, 2014
Nov. 30, 2013
Sales:        
Sales from products $ 307.7us-gaap_SalesRevenueGoodsNet $ 328.9us-gaap_SalesRevenueGoodsNet $ 602.4us-gaap_SalesRevenueGoodsNet $ 634.4us-gaap_SalesRevenueGoodsNet
Sales from services 182.3us-gaap_SalesRevenueServicesNet 211.8us-gaap_SalesRevenueServicesNet 356.8us-gaap_SalesRevenueServicesNet 420.8us-gaap_SalesRevenueServicesNet
Total sales 490.0us-gaap_SalesRevenueNet 540.7us-gaap_SalesRevenueNet 959.2us-gaap_SalesRevenueNet 1,055.2us-gaap_SalesRevenueNet
Cost and operating expenses:        
Cost of products 264.9us-gaap_CostOfGoodsSold 286.0us-gaap_CostOfGoodsSold 520.0us-gaap_CostOfGoodsSold 555.0us-gaap_CostOfGoodsSold
Cost of services 146.6us-gaap_CostOfServices 163.7us-gaap_CostOfServices 285.4us-gaap_CostOfServices 324.5us-gaap_CostOfServices
Selling, general and administrative 47.1us-gaap_SellingGeneralAndAdministrativeExpense 51.1us-gaap_SellingGeneralAndAdministrativeExpense 92.0us-gaap_SellingGeneralAndAdministrativeExpense 98.8us-gaap_SellingGeneralAndAdministrativeExpense
Total costs and operating expenses 458.6us-gaap_CostsAndExpenses 500.8us-gaap_CostsAndExpenses 897.4us-gaap_CostsAndExpenses 978.3us-gaap_CostsAndExpenses
Earnings from joint ventures 0.7us-gaap_IncomeLossFromEquityMethodInvestments 0.8us-gaap_IncomeLossFromEquityMethodInvestments 1.3us-gaap_IncomeLossFromEquityMethodInvestments 2.0us-gaap_IncomeLossFromEquityMethodInvestments
Operating income 32.1air_OperatingIncomeLossIncludingIncomeLossFromEquityMethodInvestments 40.7air_OperatingIncomeLossIncludingIncomeLossFromEquityMethodInvestments 63.1air_OperatingIncomeLossIncludingIncomeLossFromEquityMethodInvestments 78.9air_OperatingIncomeLossIncludingIncomeLossFromEquityMethodInvestments
Interest expense (9.6)us-gaap_InterestExpense (10.5)us-gaap_InterestExpense (19.2)us-gaap_InterestExpense (21.5)us-gaap_InterestExpense
Interest income 0.1us-gaap_InvestmentIncomeInterest 0.3us-gaap_InvestmentIncomeInterest 0.2us-gaap_InvestmentIncomeInterest 0.6us-gaap_InvestmentIncomeInterest
Income before provision for income taxes 22.6air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest 30.5air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest 44.1air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest 58.0air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest
Provision for income taxes 7.4us-gaap_IncomeTaxExpenseBenefit 10.5us-gaap_IncomeTaxExpenseBenefit 14.4us-gaap_IncomeTaxExpenseBenefit 20.0us-gaap_IncomeTaxExpenseBenefit
Net income attributable to AAR and noncontrolling interest 15.2us-gaap_ProfitLoss 20.0us-gaap_ProfitLoss 29.7us-gaap_ProfitLoss 38.0us-gaap_ProfitLoss
Income attributable to noncontrolling interest     (0.1)us-gaap_NetIncomeLossAttributableToNoncontrollingInterest (0.1)us-gaap_NetIncomeLossAttributableToNoncontrollingInterest
Net income attributable to AAR $ 15.2us-gaap_NetIncomeLoss $ 20.0us-gaap_NetIncomeLoss $ 29.6us-gaap_NetIncomeLoss $ 37.9us-gaap_NetIncomeLoss
Earnings per share - basic (in dollars per share) $ 0.38us-gaap_EarningsPerShareBasic $ 0.51us-gaap_EarningsPerShareBasic $ 0.75us-gaap_EarningsPerShareBasic $ 0.96us-gaap_EarningsPerShareBasic
Earnings per share - diluted (in dollars per share) $ 0.38us-gaap_EarningsPerShareDiluted $ 0.50us-gaap_EarningsPerShareDiluted $ 0.74us-gaap_EarningsPerShareDiluted $ 0.95us-gaap_EarningsPerShareDiluted