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Business Segment Information - Geographic Data (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
May 31, 2017
Feb. 28, 2017
Nov. 30, 2016
Aug. 31, 2016
May 31, 2016
Feb. 29, 2016
Nov. 30, 2015
Aug. 31, 2015
May 31, 2017
May 31, 2016
May 31, 2015
Business Segment Information                      
Long-lived assets $ 615.6       $ 574.3       $ 615.6 $ 574.3  
Sales 492.3 $ 446.7 $ 423.8 $ 404.8 468.6 $ 412.1 $ 431.5 $ 386.7 1,767.6 1,698.9 $ 1,621.4
Aviation Services                      
Business Segment Information                      
Sales                 1,485.4 1,425.0 1,316.1
Expeditionary Services                      
Business Segment Information                      
Sales                 282.2 273.9 305.3
United States                      
Business Segment Information                      
Long-lived assets 452.8       489.9       452.8 489.9  
Europe                      
Business Segment Information                      
Long-lived assets 122.5       73.1       122.5 73.1  
Other                      
Business Segment Information                      
Long-lived assets $ 40.3       $ 11.3       40.3 11.3  
Foreign countries                      
Business Segment Information                      
Sales                 $ 618.8 $ 494.6 $ 538.9
Foreign countries | Total sales | Geographic concentration                      
Business Segment Information                      
Percentage of total sales                 35.00% 29.10% 33.20%
U.S. Department of Defense, other U.S. government agencies and their contractors                      
Business Segment Information                      
Sales                 $ 454.8 $ 523.6 $ 495.6
Percentage of total sales                 25.70% 30.80% 30.60%
U.S. Department of Defense, other U.S. government agencies and their contractors | Aviation Services                      
Business Segment Information                      
Sales                 $ 260.2 $ 301.1 $ 237.3
U.S. Department of Defense, other U.S. government agencies and their contractors | Expeditionary Services                      
Business Segment Information                      
Sales                 $ 194.6 $ 222.5 $ 258.3