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Business Segment Information - Segment Data (Details)
$ in Millions
3 Months Ended 12 Months Ended
May 31, 2019
USD ($)
Feb. 28, 2019
USD ($)
Nov. 30, 2018
USD ($)
Aug. 31, 2018
USD ($)
May 31, 2018
USD ($)
Feb. 28, 2018
USD ($)
Nov. 30, 2017
USD ($)
Aug. 31, 2017
USD ($)
May 31, 2019
USD ($)
segment
May 31, 2018
USD ($)
May 31, 2017
USD ($)
Business Segment Information                      
Number of business segments | segment                 2    
Net sales $ 562.7 $ 529.5 $ 493.3 $ 466.3 $ 473.5 $ 456.3 $ 420.6 $ 397.9 $ 2,051.8 $ 1,748.3 $ 1,590.8
Gross profit                 329.5 294.6 263.4
Total assets 1,517.2       1,524.7       1,517.2 1,524.7  
Capital expenditures                 17.9 27.0 33.6
Depreciation and amortization, including amortization of stock-based compensation, Net                 56.3 63.1 63.9
Continuing operations                      
Business Segment Information                      
Capital expenditures                 17.4 22.0 25.2
Depreciation and amortization, including amortization of stock-based compensation, Gross                 56.3 55.8 46.7
Discontinued operations                      
Business Segment Information                      
Capital expenditures                 0.5 5.0 8.4
Depreciation and amortization, including amortization of stock-based compensation, Gross                   7.3 17.2
Aviation Services                      
Business Segment Information                      
Net sales                 1,920.6 1,635.8 1,485.4
Gross profit                 313.3 275.3 246.0
Total assets 1,346.8       1,241.2       1,346.8 1,241.2  
Aviation Services | Continuing operations                      
Business Segment Information                      
Capital expenditures                 15.1 18.9 15.0
Depreciation and amortization, including amortization of stock-based compensation, Gross                 37.5 34.6 30.8
Expeditionary Services                      
Business Segment Information                      
Net sales                 131.2 112.5 105.4
Gross profit                 16.2 19.3 17.4
Total assets 94.7       94.8       94.7 94.8  
Expeditionary Services | Continuing operations                      
Business Segment Information                      
Capital expenditures                 1.4 1.8 2.0
Depreciation and amortization, including amortization of stock-based compensation, Gross                 4.1 4.6 5.0
Corporate | Continuing operations                      
Business Segment Information                      
Capital expenditures                 0.9 1.3 8.2
Depreciation and amortization, including amortization of stock-based compensation, Gross                 14.7 16.6 $ 10.9
Corporate | Discontinued operations                      
Business Segment Information                      
Total assets $ 75.7       $ 188.7       $ 75.7 $ 188.7