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Intangible Assets (Schedule of Other Intangible Assets) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Apr. 30, 2018
Oct. 31, 2018
Oct. 31, 2017
Oct. 31, 2016
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 2,021,000 $ 878,000  
Accumulated Amortization & Translation   $ 499,700 373,300  
Weighted Average Amortization Period   14 years    
Other intangible assets, net   $ 1,521,300 504,700  
Impairment of intangibles $ 24,400 24,400 0 $ 0
Trademarks [Member]        
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   139,200 44,500  
Accumulated Amortization & Translation   $ 16,900 10,300  
Weighted Average Amortization Period   14 years    
Composite [Member]        
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 1,061,900 0  
Accumulated Amortization & Translation   $ 70,800 0  
Weighted Average Amortization Period   15 years    
Technology [Member]        
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 395,000 428,800  
Accumulated Amortization & Translation   $ 190,700 173,200  
Weighted Average Amortization Period   11 years    
Customer Relationships [Member]        
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 350,000 335,500  
Accumulated Amortization & Translation   $ 168,600 145,300  
Weighted Average Amortization Period   13 years    
License And Distribution Rights And Other [Member]        
Finite-Lived Intangible Assets [Line Items]        
Gross Carrying Amount   $ 74,900 69,200  
Accumulated Amortization & Translation   $ 52,700 $ 44,500  
Weighted Average Amortization Period   9 years