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Business Segment Information (Details 2) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Feb. 28, 2015
Feb. 28, 2014
Feb. 28, 2015
Feb. 28, 2014
Reconciliation of segment gross profit to consolidated income before provision for income taxes        
Segment gross profit $ 50.1us-gaap_GrossProfit $ 66.2us-gaap_GrossProfit $ 179.7us-gaap_GrossProfit $ 215.4us-gaap_GrossProfit
Selling, general and administrative (41.7)us-gaap_SellingGeneralAndAdministrativeExpense (37.7)us-gaap_SellingGeneralAndAdministrativeExpense (120.3)us-gaap_SellingGeneralAndAdministrativeExpense (120.3)us-gaap_SellingGeneralAndAdministrativeExpense
Earnings from joint ventures 0.6air_IncomeLossFromEquityMethodInvestmentsExcludingDiscontinuedOperations 0.6air_IncomeLossFromEquityMethodInvestmentsExcludingDiscontinuedOperations 1.8air_IncomeLossFromEquityMethodInvestmentsExcludingDiscontinuedOperations 2.5air_IncomeLossFromEquityMethodInvestmentsExcludingDiscontinuedOperations
Interest expense (6.4)us-gaap_InterestExpense (7.1)us-gaap_InterestExpense (19.4)us-gaap_InterestExpense (21.9)us-gaap_InterestExpense
Interest income   0.3us-gaap_InvestmentIncomeInterest 0.2us-gaap_InvestmentIncomeInterest 0.9us-gaap_InvestmentIncomeInterest
Income before provision for income taxes $ 2.6air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest $ 22.3air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest $ 42.0air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest $ 76.6air_IncomeLossFromContinuingOperationsBeforeIncomeTaxesAndMinorityInterest