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Employee Benefit Plans - Time-Based Restricted Stock Unit Equity Awards (Details) - Restricted Stock Units (RSUs) [Member]
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2018
USD ($)
grant_recipient
$ / shares
shares
Sep. 30, 2017
USD ($)
grant_recipient
$ / shares
shares
Sep. 30, 2016
USD ($)
grant_recipient
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | $ $ 51.0 $ 25.0 $ 12.0
Number of Restricted Stock Units      
Outstanding at beginning of year, shares | shares 4,365,782 3,478,233 1,978,262
Granted, shares | shares 1,747,870 1,868,660 2,117,330
Vested, shares | shares (1,149,055) (792,941) (423,427)
Cancelled, shares | shares (166,675) (188,170) (193,932)
Outstanding at end of year, shares | shares 4,797,922 4,365,782 3,478,233
Weighted Average Grant Date Fair Value      
Outstanding at beginning of year, weighted average grant date fair value, per share | $ / shares $ 26.09 $ 24.12 $ 25.60
Granted, weighted average grant date fair value, per share | $ / shares 41.82 28.64 23.14
Vested, weighted average grant date fair value, per share | $ / shares 25.80 24.48 25.57
Cancelled, weighted average grant date fair value, per share | $ / shares 29.56 25.21 25.05
Outstanding at end of year, weighted average grant date fair value, per share | $ / shares $ 31.77 $ 26.09 $ 24.12
Additional information - restricted stock units      
Share-based compensation expense | $ $ 39.3 $ 28.8 $ 18.7
Unrecognized compensation expense | $ $ 101.1    
Weighted average period over which unrecognized compensation cost is expected to be recognized 3 years 6 months    
Minimum [Member]      
Additional information - restricted stock units      
Vesting period 3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Remaining Award Vesting Period 1 year    
Maximum [Member]      
Additional information - restricted stock units      
Vesting period 5 years    
Share-based Compensation Arrangement by Share-based Payment Award, Remaining Award Vesting Period 5 years    
Fiscal 2018 Grant [Member]      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient 920    
Fiscal 2017 Grant [Member]      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient   600  
Fiscal 2016 Grant [Member]      
Additional information - restricted stock units      
RSU grant recipients | grant_recipient     570