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Acquisitions (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 17, 2025
Nov. 03, 2025
Sep. 25, 2025
Aug. 11, 2025
Mar. 01, 2024
Mar. 20, 2023
Feb. 28, 2026
May 31, 2025
Feb. 28, 2025
Nov. 30, 2023
Feb. 28, 2026
Feb. 28, 2025
Acquisitions                        
Bargain purchase gain             $ 35.7       $ 35.7  
ART                        
Acquisitions                        
Purchase price $ 35.0                      
HAECO Americas                        
Acquisitions                        
Purchase price   $ 78.0                    
Acquisition related costs expensed amount   $ 3.2                    
Bargain purchase gain             35.7          
Expenses incurred for integration activities             5.9       6.7  
ADI                        
Acquisitions                        
Purchase price     $ 137.7                  
Acquisition related costs expensed amount     4.1                  
Reduction in purchase price, post-closing adjustment             0.6          
Escrow deposit     4.5                  
Escrow deposit disbursement             1.0          
ADI | Trademarks                        
Acquisitions                        
Indefinite-Lived Intangible Assets Acquired     16.1                  
ADI | Customer relationships                        
Acquisitions                        
Amortizable intangible assets acquired     $ 43.3                  
Weighted average useful life     12 years 6 months                  
ADI | Backlog                        
Acquisitions                        
Amortizable intangible assets acquired     $ 16.4                  
Weighted average useful life     3 years                  
Aerostrat                        
Acquisitions                        
Purchase price       $ 15.0                
Escrow deposit       3.1                
Contingent consideration       5.0                
Business combination, acquisition related costs       0.5                
Aerostrat | Successful lunch of certain product offering                        
Acquisitions                        
Contingent consideration       1.0                
Aerostrat | Achievement of adjusted revenue targets                        
Acquisitions                        
Contingent consideration       4.0                
Aerostrat | Trade Names                        
Acquisitions                        
Amortizable intangible assets acquired       0.7                
Aerostrat | Customer relationships                        
Acquisitions                        
Amortizable intangible assets acquired       $ 4.7                
Weighted average useful life       10 years                
Aerostrat | Developed technology                        
Acquisitions                        
Amortizable intangible assets acquired       $ 4.9                
Weighted average useful life       20 years                
Product Support                        
Acquisitions                        
Purchase price         $ 725.0              
Business combination, acquisition related costs             0.5   $ 1.8   2.4 $ 5.6
Reduction in purchase price         2.9              
Product Support | Customer relationships                        
Acquisitions                        
Amortizable intangible assets acquired         $ 96.1              
Weighted average useful life         12 years 6 months              
Product Support | Developed technology                        
Acquisitions                        
Amortizable intangible assets acquired         $ 83.3              
Weighted average useful life         20 years              
Trax                        
Acquisitions                        
Purchase price           $ 120.0            
Escrow deposit           12.0 5.4       5.4  
Escrow deposit disbursement               $ 4.4   $ 3.0    
Contingent consideration           $ 20.0            
Business combination, acquisition related costs                     8.1  
Business combination, consideration transferred, liabilities incurred                   $ 1.8    
Compensation expense             $ 0.0   $ 1.7   $ 0.0 $ 3.8