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Program Development Costs (Details) (USD $)
In Millions, unless otherwise specified
 3 Months Ended 6 Months Ended
Nov. 30, 2014
Nov. 30, 2013
Nov. 30, 2014
Nov. 30, 2013
May 31, 2014
Program Development Costs          
Net costs capitalized associated with the engineering and development of the cargo system $ 128.5air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrentAndNoncurrent   $ 128.5air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrentAndNoncurrent   $ 139.8air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrentAndNoncurrent
Net costs capitalized associated with the engineering and development of the cargo system, current 44.2air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrent   44.2air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrent   27.6air_CargoSystemEngineeringAndDevelopmentCostsCapitalizedCurrent
Net costs capitalized associated with the engineering and development of the cargo system, non-current 84.3air_CargoSystemEngineeringAndDevelopmentCostsCapitalized   84.3air_CargoSystemEngineeringAndDevelopmentCostsCapitalized   112.2air_CargoSystemEngineeringAndDevelopmentCostsCapitalized
Amortization of program development costs $ 13.8air_AmortizationOfProgramDevelopmentCosts $ 2.1air_AmortizationOfProgramDevelopmentCosts $ 16.5air_AmortizationOfProgramDevelopmentCosts $ 2.8air_AmortizationOfProgramDevelopmentCosts