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Business Combinations and Asset Acquisitions - Narrative (Details) - USD ($)
3 Months Ended 7 Months Ended 12 Months Ended
Mar. 02, 2020
Apr. 01, 2019
Jan. 29, 2021
Jul. 31, 2020
May 01, 2020
Oct. 31, 2019
Oct. 31, 2021
Oct. 31, 2020
Oct. 31, 2019
Mar. 31, 2019
Business Acquisition [Line Items]                    
Business combination, consideration transferred, holdback             $ 24,900,000      
Business combination, consideration transferred, holdback expired       $ 4,500,000            
Purchase price allocation adjustment             (1,027,000) $ (866,000)    
Goodwill           $ 362,253,000 $ 421,680,000 $ 424,075,000 $ 362,253,000  
Estimated useful life             14 years 7 months 6 days 15 years 6 months    
$200 million and $300 million term loans | $500.0 million term loan                    
Business Acquisition [Line Items]                    
Aggregate principal amount of notes issued                   $ 500,000,000
Trade names                    
Business Acquisition [Line Items]                    
Estimated useful life             15 years 4 months 24 days 15 years 4 months 24 days    
Developed technology                    
Business Acquisition [Line Items]                    
Estimated useful life             7 years 7 years 7 months 6 days    
Venture Products, Inc Affiliate                    
Business Acquisition [Line Items]                    
Payments to acquire businesses, gross $ 136,400,000                  
Business combination, consideration transferred, holdback 29,500,000                  
Total purchase price 163,225,000     $ 163,200,000            
Business combination, acquisition related costs               $ 600,000    
Business acquisition, goodwill, expected tax deductible amount             $ 0      
Purchase price allocation adjustment     $ (1,000,000)              
Goodwill 61,225,000                  
Other intangible assets $ 75,300,000                  
Estimated useful life 16 years                  
Venture Products, Inc Affiliate | Professional                    
Business Acquisition [Line Items]                    
Goodwill               $ 412,100,000    
Venture Products, Inc Affiliate | Previously Reported                    
Business Acquisition [Line Items]                    
Preliminary purchase price $ 165,900,000                  
Charles Machine Works, Inc                    
Business Acquisition [Line Items]                    
Total purchase price   $ 684,973,000       685,000,000        
Business combination, acquisition related costs                 10,200,000  
Business acquisition, goodwill, expected tax deductible amount             $ 0      
Purchase price allocation adjustment         $ (900,000)          
Goodwill   134,657,000                
Other intangible assets   $ 264,200,000                
Estimated useful life   16 years 7 months 6 days                
Charles Machine Works, Inc | Professional                    
Business Acquisition [Line Items]                    
Goodwill           $ 350,300,000     $ 350,300,000  
Charles Machine Works, Inc | Trade names                    
Business Acquisition [Line Items]                    
Estimated useful life   20 years                
Charles Machine Works, Inc | Customer-related                    
Business Acquisition [Line Items]                    
Estimated useful life   18 years 3 months 18 days                
Charles Machine Works, Inc | Developed technology                    
Business Acquisition [Line Items]                    
Estimated useful life   7 years 9 months 18 days                
Charles Machine Works, Inc | Backlog                    
Business Acquisition [Line Items]                    
Estimated useful life   6 months                
Charles Machine Works, Inc | Previously Reported                    
Business Acquisition [Line Items]                    
Preliminary purchase price   $ 679,300,000