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Business Segment Information - Sales and Gross Profit (Details) - USD ($)
$ in Millions
 12 Months Ended
May 31, 2025
May 31, 2024
May 31, 2023
Business Segment Information      
Total assets $ 2,844.6 $ 2,770.0  
Continuing operations      
Business Segment Information      
Capital expenditures 34.7 29.7 $ 29.5
Depreciation and amortization, including amortization of stock-based compensation, Gross 75.1 55.5 40.7
Continuing operations | Corporate      
Business Segment Information      
Depreciation and amortization, including amortization of stock-based compensation, Gross 19.1 17.0 13.5
Discontinued operations | Corporate      
Business Segment Information      
Total assets 170.8 180.6  
Parts Supply      
Business Segment Information      
Total assets 818.8 732.8  
Parts Supply | Continuing operations      
Business Segment Information      
Capital expenditures 0.2 0.8 2.2
Depreciation and amortization, including amortization of stock-based compensation, Gross 9.7 8.4 6.2
Repair & Engineering      
Business Segment Information      
Total assets 1,155.2 1,235.4  
Repair & Engineering | Continuing operations      
Business Segment Information      
Capital expenditures 20.9 11.9 15.1
Depreciation and amortization, including amortization of stock-based compensation, Gross 26.4 12.2 7.6
Integrated Solutions      
Business Segment Information      
Total assets 620.8 542.1  
Integrated Solutions | Continuing operations      
Business Segment Information      
Capital expenditures 5.7 5.2 5.7
Depreciation and amortization, including amortization of stock-based compensation, Gross 18.3 17.4 11.9
Expeditionary Services      
Business Segment Information      
Total assets 79.0 79.1  
Expeditionary Services | Continuing operations      
Business Segment Information      
Capital expenditures 6.1 8.5 6.1
Depreciation and amortization, including amortization of stock-based compensation, Gross 1.6 1.5 1.5
Corporate and other | Continuing operations      
Business Segment Information      
Capital expenditures $ 1.8 $ 3.3 $ 0.4