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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jul. 31, 2019
Apr. 30, 2019
Apr. 30, 2018
Oct. 31, 2019
Oct. 31, 2018
Oct. 31, 2017
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       $ 1,995.8 $ 2,012.1  
Accumulated Amortization & Translation       599.4 499.7  
Intangible assets with definitive lives, net       $ 1,396.4 1,512.4  
Weighted Average Amortization Period (In years)       14 years    
Intangible assets with indefinite lives, net       $ 8.9 8.9  
Total other intangible assets, net       1,405.3 1,521.3  
Impairment of intangibles     $ 24.4 0.4 24.4 $ 0.0
Gain on sale of an intangible       19.0 0.0 0.0
Amortization of intangibles       145.8 146.7 $ 68.4
Trademarks            
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       148.5 138.1  
Accumulated Amortization & Translation       $ 27.3 16.9  
Weighted Average Amortization Period (In years)       14 years    
Composite intangible asset            
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       $ 1,061.9 1,061.9  
Accumulated Amortization & Translation       $ 141.6 70.8  
Weighted Average Amortization Period (In years)       15 years    
Technology            
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       $ 399.9 387.2  
Accumulated Amortization & Translation       $ 221.2 190.7  
Weighted Average Amortization Period (In years)       11 years    
Customer relationships            
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       $ 357.6 350.0  
Accumulated Amortization & Translation       $ 194.0 168.6  
Weighted Average Amortization Period (In years)       13 years    
License and distribution rights and other            
Finite-Lived Intangible Assets [Line Items]            
Gross Carrying Amount       $ 27.9 74.9  
Accumulated Amortization & Translation       $ 15.3 $ 52.7  
Weighted Average Amortization Period (In years)       11 years    
CooperSurgical            
Finite-Lived Intangible Assets [Line Items]            
Proceeds from sale of exclusive distribution right to distribute Filshie Clip System in the U.S.   $ 21.0        
Gain on sale of an intangible   $ 19.0        
CooperVision | Non-compete agreements            
Finite-Lived Intangible Assets [Line Items]            
Amortization of intangibles $ 37.3