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Business Segment Information - Segment Data (Details)
$ in Millions
3 Months Ended 12 Months Ended
May 31, 2018
USD ($)
Feb. 28, 2018
USD ($)
Nov. 30, 2017
USD ($)
Aug. 31, 2017
USD ($)
May 31, 2017
USD ($)
Feb. 28, 2017
USD ($)
Nov. 30, 2016
USD ($)
Aug. 31, 2016
USD ($)
May 31, 2018
USD ($)
segment
May 31, 2017
USD ($)
May 31, 2016
USD ($)
Business Segment Information                      
Number of business segments | segment                 2    
Net sales $ 473.5 $ 456.3 $ 420.6 $ 397.9 $ 450.5 $ 407.2 $ 371.3 $ 361.8 $ 1,748.3 $ 1,590.8 $ 1,525.4
Gross profit 84.7 $ 77.6 $ 70.7 $ 61.6 77.9 $ 66.5 $ 59.5 $ 59.5 294.6 263.4 233.1
Total assets 1,524.7       1,504.1       1,524.7 1,504.1  
Capital expenditures                 27.0 33.6 89.0
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Net                 63.1 63.9 57.8
Continuing operations                      
Business Segment Information                      
Capital expenditures                 22.0 25.2 40.1
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Gross                 55.8 46.7 39.7
Discontinued operations                      
Business Segment Information                      
Capital expenditures                 5.0 8.4 48.9
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Gross                 7.3 17.2 18.1
Aviation Services                      
Business Segment Information                      
Net sales                 1,618.9 1,485.4 1,425.0
Gross profit                 271.9 246.0 229.5
Total assets 1,205.8       1,057.0       1,205.8 1,057.0  
Aviation Services | Continuing operations                      
Business Segment Information                      
Capital expenditures                 18.6 15.0 16.4
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Gross                 34.6 30.8 26.2
Expeditionary Services                      
Business Segment Information                      
Net sales                 129.4 105.4 100.4
Gross profit                 22.7 17.4 3.6
Total assets 130.2       122.8       130.2 122.8  
Expeditionary Services | Continuing operations                      
Business Segment Information                      
Capital expenditures                 2.1 2.0 1.6
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Gross                 4.6 5.0 6.8
Corporate | Continuing operations                      
Business Segment Information                      
Capital expenditures                 1.3 8.2 22.1
Depreciation and amortization, including depreciation and amortization of stock-based compensation, Gross                 16.6 10.9 $ 6.7
Corporate | Discontinued operations                      
Business Segment Information                      
Total assets $ 188.7       $ 324.3       $ 188.7 $ 324.3