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Business Segment Information (Details) (USD $)
In Millions, unless otherwise specified
 3 Months Ended 9 Months Ended
Feb. 28, 2015
Feb. 28, 2014
Feb. 28, 2015
Feb. 28, 2014
Business Segment Information        
Sales $ 380.1us-gaap_SalesRevenueNet $ 399.8us-gaap_SalesRevenueNet $ 1,178.5us-gaap_SalesRevenueNet $ 1,288.5us-gaap_SalesRevenueNet
Gross Profit 50.1us-gaap_GrossProfit 66.2us-gaap_GrossProfit 179.7us-gaap_GrossProfit 215.4us-gaap_GrossProfit
Aviation Services        
Business Segment Information        
Sales 318.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 289.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 955.9us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 923.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
Gross Profit 50.7us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 38.3us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 152.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember		 125.5us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
Expeditionary Services        
Business Segment Information        
Sales 61.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 110.1us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 222.6us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 365.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember
Gross Profit $ (0.6)us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 $ 27.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 $ 26.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember		 $ 89.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_ExpeditionaryServicesMember