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Business Segment Information - Sales and Gross profit (Details)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 30, 2019
USD ($)
Nov. 30, 2018
USD ($)
Nov. 30, 2019
USD ($)
segment
Nov. 30, 2018
USD ($)
Disaggregation of revenue by major customer markets        
Operating segments (in segments) | segment     2  
Sales $ 560.9 $ 493.3 $ 1,102.4 $ 959.6
Gross profit 85.9 78.3 167.5 149.5
Aviation Services        
Disaggregation of revenue by major customer markets        
Sales 532.0 462.9 1,043.8 901.3
Gross profit 85.7 74.9 165.7 142.0
Expeditionary Services        
Disaggregation of revenue by major customer markets        
Sales 28.9 30.4 58.6 58.3
Gross profit $ 0.2 $ 3.4 $ 1.8 $ 7.5