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Share Based Compensation - Summary of Activity of the RSUs Granted (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Time-Based Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.4    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.48    
Units granted, fair value at grant date $ 27.0    
Time-Based Grants | Vesting in less than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.3    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.33    
Units granted, fair value at grant date $ 18.6    
Time-Based Grants | Vesting in more than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.1    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.80    
Units granted, fair value at grant date $ 8.4    
Performance-Based Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.5    
Units granted, weighted average grant date fair value (in dollars per share) $ 61.03    
Units granted, fair value at grant date $ 28.6    
Performance-Based Grants | Vesting in less than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.1    
Units granted, weighted average grant date fair value (in dollars per share) $ 53.19    
Units granted, fair value at grant date $ 4.8    
Performance-Based Grants | Vesting in more than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.4    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.88    
Units granted, fair value at grant date $ 23.8    
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.9 1.5 0.4
Units granted, weighted average grant date fair value (in dollars per share) $ 61.72 $ 53.11 $ 102.96
Units granted, fair value at grant date $ 55.6 $ 81.4 $ 45.9
SB/RH | Time-Based Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.4    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.43    
Units granted, fair value at grant date $ 25.7    
SB/RH | Time-Based Grants | Vesting in less than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.3    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.25    
Units granted, fair value at grant date $ 17.3    
SB/RH | Time-Based Grants | Vesting in more than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.1    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.80    
Units granted, fair value at grant date $ 8.4    
SB/RH | Performance-Based Grants      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.5    
Units granted, weighted average grant date fair value (in dollars per share) $ 61.03    
Units granted, fair value at grant date $ 28.6    
SB/RH | Performance-Based Grants | Vesting in less than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.1    
Units granted, weighted average grant date fair value (in dollars per share) $ 53.19    
Units granted, fair value at grant date $ 4.8    
SB/RH | Performance-Based Grants | Vesting in more than 24 months      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.4    
Units granted, weighted average grant date fair value (in dollars per share) $ 62.88    
Units granted, fair value at grant date $ 23.8    
SB/RH | Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Units granted (in shares) 0.9 1.5 0.4
Units granted, weighted average grant date fair value (in dollars per share) $ 61.68 $ 52.82 $ 102.92
Units granted, fair value at grant date $ 54.3 $ 79.8 $ 44.4