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Goodwill and Other Intangible Assets, Net (Details)
$ in Millions
12 Months Ended
May 31, 2025
USD ($)
May 31, 2024
USD ($)
segment
item
Mar. 01, 2024
USD ($)
Mar. 20, 2023
USD ($)
Goodwill        
Number of operating segments | segment   3    
Number of reporting units | item   3    
Changes in the carrying amount of goodwill        
Goodwill, beginning balance $ 554.8 $ 175.8    
Sale of Landing Gear Overhaul business (14.6)      
Foreign currency translation adjustments 1.0 0.5    
Goodwill, ending balance 530.8 554.8    
Goodwill 530.8 554.8    
Product Support acquisition        
Changes in the carrying amount of goodwill        
Acquisition   375.2    
Measurement period adjustment from acquisition (10.4)      
Goodwill     $ 364.8  
Trax acquisition        
Changes in the carrying amount of goodwill        
Acquisition   3.3    
Goodwill       $ 63.8
Parts Supply        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 38.9 38.9    
Goodwill, ending balance 38.9 38.9    
Goodwill 38.9 38.9    
Repair & Engineering        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 416.6 41.4    
Sale of Landing Gear Overhaul business (14.6)      
Foreign currency translation adjustments 0.1      
Goodwill, ending balance 391.7 416.6    
Goodwill 391.7 416.6    
Repair & Engineering | Product Support acquisition        
Changes in the carrying amount of goodwill        
Acquisition   375.2    
Measurement period adjustment from acquisition (10.4)      
Integrated Solutions        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 80.5 76.7    
Foreign currency translation adjustments 0.9 0.5    
Goodwill, ending balance 81.4 80.5    
Goodwill 81.4 80.5    
Integrated Solutions | Trax acquisition        
Changes in the carrying amount of goodwill        
Acquisition   3.3    
Expeditionary Services        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 18.8 18.8    
Goodwill, ending balance 18.8 18.8    
Goodwill 18.8 $ 18.8    
Aviation Services        
Goodwill        
Number of operating segments | segment   2    
Aviation Services | Parts Supply        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 38.9      
Goodwill, ending balance   $ 38.9    
Goodwill   38.9    
Aviation Services | Supply chain goodwill        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance 115.6      
Goodwill, ending balance   115.6    
Goodwill   115.6    
Aviation Services | Integrated Solutions        
Changes in the carrying amount of goodwill        
Goodwill, beginning balance $ 76.7      
Goodwill, ending balance   76.7    
Goodwill   $ 76.7    
Expeditionary Services        
Goodwill        
Number of operating segments | segment   1