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Shareholders' Equity - Narrative (Details) - USD ($)
$ / shares in Units, shares in Millions
12 Months Ended 15 Months Ended
Feb. 24, 2020
Nov. 18, 2019
Jul. 24, 2018
Sep. 30, 2020
Sep. 30, 2019
Feb. 24, 2020
Accelerated Share Repurchases [Line Items]            
Authorized share repurchase amount     $ 1,000,000,000.0      
Share repurchase program, authorization period     36 months      
Number of shares repurchased (in shares)       6.2 4.9  
Total repurchase amount         $ 268,500,000  
Average price per share (in dollars per share)       $ 58.57 $ 54.34  
ASR            
Accelerated Share Repurchases [Line Items]            
Accelerated share repurchase amount   $ 125,000,000.0        
Number of shares repurchased (in shares) 0.3 1.7   2.0   2.0
Percentage of company total shares   85.00%        
Total repurchase amount $ 18,500,000 $ 106,300,000   $ 125,000,000.0    
Adjustment to additional paid-in capital   $ 18,700,000        
Average price per share (in dollars per share)       $ 61.47   $ 61.59