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Acquisitions - Schedule of Intangible Assets Acquired (Details) - USD ($)
12 Months Ended
Sep. 01, 2023
Oct. 06, 2022
Aug. 31, 2022
Sep. 30, 2023
Peerless Food Equipment        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 25,300,000    
Gross Carrying Amount       $ 25.3
Peerless Food Equipment | Customer relationships        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 22,000,000.0    
Weighted-Average Useful Life   13 years    
Peerless Food Equipment | Trade Names [Member]        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 3,300,000    
Weighted-Average Useful Life   10 years    
LINXIS        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 243,800,000    
LINXIS | Customer relationships        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 211,100,000    
Weighted-Average Useful Life   13 years    
LINXIS | Trade Names [Member]        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 32,700,000    
Weighted-Average Useful Life   10 years    
Herbold        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount     $ 22,600,000  
Herbold | Customer relationships        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount     $ 10,200,000  
Weighted-Average Useful Life     15 years  
Herbold | Trade Names [Member]        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount     $ 8,000,000.0  
Weighted-Average Useful Life     10 years  
Herbold | Technology, including patents        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount     $ 4,400,000  
Weighted-Average Useful Life     7 years  
Schenck Process Food and Performance Materials Business        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount $ 338,000,000.0      
Schenck Process Food and Performance Materials Business | Customer relationships        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount $ 290,000,000.0      
Weighted-Average Useful Life 15 years      
Schenck Process Food and Performance Materials Business | Trade Names [Member]        
Acquired Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount $ 48,000,000.0      
Weighted-Average Useful Life 12 years