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Business Segment Information (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Nov. 30, 2014
Nov. 30, 2013
Nov. 30, 2014
item
Nov. 30, 2013
Business Segment Information        
Number of business segments     2us-gaap_NumberOfReportableSegments  
Business Segment Information        
Sales $ 490.0us-gaap_SalesRevenueNet $ 540.7us-gaap_SalesRevenueNet $ 959.2us-gaap_SalesRevenueNet $ 1,055.2us-gaap_SalesRevenueNet
Gross Profit 78.5us-gaap_GrossProfit 91.0us-gaap_GrossProfit 153.8us-gaap_GrossProfit 175.7us-gaap_GrossProfit
Aviation Services        
Business Segment Information        
Sales 377.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
424.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
741.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
818.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
Gross Profit 63.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
71.3us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
123.0us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
136.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_AviationServicesMember
Technology Products        
Business Segment Information        
Sales 112.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
116.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
217.8us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
236.8us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
Gross Profit $ 14.6us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
$ 19.7us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
$ 30.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember
$ 38.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= air_TechnologyProductsMember