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Stock-Based Compensation - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Mar. 11, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Percentage of vesting in first anniversary 30.00%      
Percentage of vesting in second anniversary 30.00%      
Percentage of vesting in third anniversary 40.00%      
Net stock-based compensation expense $ 18 $ 22 $ 20  
Stock Options [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Percentage of exercise price equal to market price on the date of grant 100.00%      
Vesting period (in years) 3 years      
Expiration period, years 10 years      
Unrecognized compensation cost $ 3      
Weighted-average period, years 1 year      
Options outstanding, aggregate intrinsic value $ 29      
Options exercisable, aggregate intrinsic value 29      
Intrinsic value of options exercised 2 4 2  
Cash received from exercises $ 4 $ 6 $ 5  
Stock Options, Weighted Average Grant Date Fair Value, Granted $ 26.28 $ 15.95 $ 9.69  
Restricted Stock Units [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period (in years) 3 years      
Unrecognized compensation cost $ 16      
Weighted-average period, years 1 year      
Estimated weighted average grant date fair value $ 73.68 $ 58.72 $ 41.92  
Intrinsic value of restricted stock units vested $ 20 $ 13 $ 8  
Restricted Stock [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period (in years) 3 years      
Supplemental 401(k) Plan [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Supplemental retirement savings plan, aggregate value of the accounts, shares 113,000 103,000    
2017 Long-Term Incentive Plan [Member] | Maximum [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Common stock, authorized shares       8,625,000