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Stock-Based Compensation - Stock-Settled RSUs (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
PHI Stock-Settled Restricted Stock Unit      
Share-based Payment Award [Line Items]      
RSUs nonvested, beginning balance 21,116    
RSUs granted in period 0    
Impact of Spin-off 5,592    
RSUs vested in period (26,708)    
RSUs forfeited in period 0    
RSUs nonvested, ending balance 0 21,116  
RSUs nonvested, weighted average grant date fair value $ 0 $ 104.26 $ 99.83
RSUs granted in period, weighted average grant date fair value 0    
RSUs vested in period, weighted average grant date fair value 82.42    
RSUs forfeited in period, weighted average grant date fair value $ 0    
RSUs vested in period, fair value $ 2.3 $ 3.0 $ 4.5
BRBR Stock-Settled Restricted Stock Units      
Share-based Payment Award [Line Items]      
RSUs nonvested, beginning balance 467,663    
RSUs granted in period 318,462    
Impact of Spin-off 56,106    
RSUs vested in period (209,790)    
RSUs forfeited in period (52,472)    
RSUs nonvested, ending balance 579,969 467,663  
RSUs nonvested, weighted average grant date fair value $ 21.23 $ 19.85 $ 19.39
RSUs granted in period, weighted average grant date fair value 25.87    
RSUs vested in period, weighted average grant date fair value 20.01    
RSUs forfeited in period, weighted average grant date fair value $ 20.59    
RSUs vested in period, fair value $ 5.2 $ 3.0