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Business Combinations - Narrative (Details) - USD ($)
3 Months Ended 7 Months Ended 8 Months Ended 12 Months Ended
Mar. 02, 2020
Apr. 01, 2019
Jul. 31, 2020
May 01, 2020
Oct. 31, 2019
Oct. 31, 2019
Oct. 31, 2020
Oct. 31, 2021
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Business Acquisition [Line Items]                      
Business combination, consideration transferred, holdback expired     $ 4,500,000                
Goodwill         $ 362,253,000 $ 362,253,000 $ 424,075,000   $ 424,075,000 $ 362,253,000 $ 225,290,000
Business acquisition, goodwill, expected tax deductible amount             $ 0   0    
Purchase price allocation adjustment                 $ (866,000)    
Estimated useful life (years)                 15 years 6 months 15 years 6 months  
Trade names                      
Business Acquisition [Line Items]                      
Estimated useful life (years)                 15 years 4 months 24 days 15 years 4 months 24 days  
Developed technology                      
Business Acquisition [Line Items]                      
Estimated useful life (years)                 7 years 7 months 6 days 7 years 7 months 6 days  
Forecast                      
Business Acquisition [Line Items]                      
Business combination, consideration transferred, holdback               $ 25,000,000.0      
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    
Goodwill 62,252,000                    
Other intangible assets 75,300,000                    
Business combination, pro forma information, revenue of acquiree since acquisition date, actual                 58,300,000    
Estimated useful life (years)             16 years        
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         685,000,000.0 684,973,000          
Business combination, acquisition related costs                   $ 10,200,000  
Goodwill   $ 134,657,000                  
Other intangible assets   264,200,000         $ 264,200,000   $ 264,200,000    
Purchase price allocation adjustment       $ (900,000)              
Estimated useful life (years)                 16 years 7 months 6 days    
Charles Machine Works, Inc | Trade names                      
Business Acquisition [Line Items]                      
Other intangible assets   5,200,000                  
Estimated useful life (years)                 20 years    
Charles Machine Works, Inc | Customer-related                      
Business Acquisition [Line Items]                      
Other intangible assets   130,800,000                  
Estimated useful life (years)                 18 years 3 months 18 days    
Charles Machine Works, Inc | Developed technology                      
Business Acquisition [Line Items]                      
Other intangible assets   20,900,000                  
Estimated useful life (years)                 7 years 9 months 18 days    
Charles Machine Works, Inc | Backlog                      
Business Acquisition [Line Items]                      
Other intangible assets   3,590,000                  
Estimated useful life (years)                 6 months    
Charles Machine Works, Inc | Previously Reported                      
Business Acquisition [Line Items]                      
Preliminary purchase price   $ 679,300,000                  
Professional                      
Business Acquisition [Line Items]                      
Goodwill         350,300,000 350,300,000 412,100,000   $ 412,100,000 350,300,000  
Operating Segments | Professional                      
Business Acquisition [Line Items]                      
Goodwill         350,250,000 350,250,000 $ 412,061,000   412,061,000 350,250,000 $ 214,827,000
Purchase price allocation adjustment                 $ (866,000)    
Operating Segments | Professional | Charles Machine Works, Inc                      
Business Acquisition [Line Items]                      
Goodwill         $ 350,300,000 $ 350,300,000       $ 350,300,000