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Business Combinations and Asset Acquisitions - Narrative (Details) - USD ($)
3 Months Ended 12 Months Ended
Jan. 13, 2022
Mar. 02, 2020
Jan. 29, 2021
Jul. 31, 2020
Oct. 31, 2022
Oct. 31, 2021
Oct. 31, 2020
Business Acquisition [Line Items]              
Goodwill         $ 583,297,000 $ 421,680,000 $ 424,075,000
Estimated useful life         13 years 4 months 24 days 14 years 7 months 6 days  
Decrease to the carrying amount of goodwill           $ 1,027,000  
Trade names              
Business Acquisition [Line Items]              
Estimated useful life         13 years 9 months 18 days 15 years 4 months 24 days  
Developed technology              
Business Acquisition [Line Items]              
Estimated useful life         7 years 1 month 6 days 7 years  
Professional | Operating Segments              
Business Acquisition [Line Items]              
Goodwill $ 573,000,000       $ 573,031,000 $ 411,079,000 412,061,000
Decrease to the carrying amount of goodwill           1,027,000  
Intimidator Group              
Business Acquisition [Line Items]              
Percentage of equity interests acquired 100.00%            
Payments to acquire businesses, gross $ 398,900,000            
Total purchase price 399,766,000            
Additional cash consideration, maximum 15,000,000            
Goodwill 163,731,000            
Other intangible assets $ 184,200,000            
Estimated useful life 9 years 6 months            
Business combination, pro forma information, revenue of acquiree since acquisition date, actual         $ 183,800,000    
Intimidator Group | Trade names              
Business Acquisition [Line Items]              
Estimated useful life 9 years 9 months 18 days            
Intimidator Group | Customer-related              
Business Acquisition [Line Items]              
Estimated useful life 9 years 7 months 6 days            
Intimidator Group | Developed technology              
Business Acquisition [Line Items]              
Estimated useful life 9 months            
Venture Products, Inc Affiliate              
Business Acquisition [Line Items]              
Payments to acquire businesses, gross   $ 136,400,000          
Total purchase price   163,225,000   $ 163,200,000      
Goodwill   61,225,000          
Other intangible assets   $ 75,300,000          
Estimated useful life   16 years          
Preliminary purchase price   $ 165,900,000          
Business combination, consideration transferred, holdback   $ 29,500,000       $ 24,900,000  
Business combination, consideration transferred, holdback expired       $ 4,500,000      
Business acquisition, goodwill, expected tax deductible amount             0
Decrease to the carrying amount of goodwill     $ 1,000,000        
Venture Products, Inc Affiliate | Professional | Operating Segments              
Business Acquisition [Line Items]              
Goodwill             $ 412,100,000