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Stockholders' Equity (Details) - USD ($)
12 Months Ended
Jul. 20, 2018
Jul. 19, 2018
May 03, 2018
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
May 03, 2019
Class of Stock [Line Items]              
Preferred stock, shares authorized       5,000,000 5,000,000    
Common stock, shares authorized       500,000,000 500,000,000    
Stock authorized to repurchase       $ 1,500,000,000      
Stock repurchased during period (in shares)       1,400,000   900,000  
Repurchases of common stock       $ 114,994,000 $ 1,100,000,000 $ 50,991,000  
Accelerated Share Repurchases, Settlement (Payment) or Receipt $ 1,000,000,000           $ 100,000,000
Accelerated Share Repurchase Initial Delivery Percent of Total 80.00%            
Series A Junior Participating Preferred Stock [Member]              
Class of Stock [Line Items]              
Preferred stock, shares authorized       500,000      
Rockwell Automation [Member]              
Class of Stock [Line Items]              
Sale of Stock, Consideration Received on Transaction   $ 1,000,000,000          
Stock issued for equity investment   10,582,010          
Price per share (in dollars per share)   $ 94.50          
Accelerated Share Repurchase Agreement [Member]              
Class of Stock [Line Items]              
Stock repurchased during period (in shares) 8,200,000   1,200,000 3,000,000.0      
Accelerated Share Repurchase Agreement [Member] | Final settlement [Member]              
Class of Stock [Line Items]              
Stock Repurchased and Retired During Period, Value       $ 200,000,000