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Business Segment Information - Sales and Gross profit (Details)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 29, 2020
USD ($)
Feb. 28, 2019
USD ($)
Feb. 29, 2020
USD ($)
segment
Feb. 28, 2019
USD ($)
Disaggregation of revenue by major customer markets        
Operating segments (in segments) | segment     2  
Sales $ 553.1 $ 529.5 $ 1,655.5 $ 1,489.1
Gross profit 65.3 85.3 232.8 234.8
Aviation Services        
Disaggregation of revenue by major customer markets        
Sales 530.3 497.3 1,574.1 1,398.6
Gross profit 65.2 81.7 230.9 223.7
Expeditionary Services        
Disaggregation of revenue by major customer markets        
Sales 22.8 32.2 81.4 90.5
Gross profit $ 0.1 $ 3.6 $ 1.9 $ 11.1