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Share-Based Compensation (Tables)
 12 Months Ended
Sep. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Schedule of Stock options, Assumptions
Fair value is estimated at the grant date based on a Black-Scholes-Merton option-pricing model using the following weighted-average assumptions:
Year Ended September 30,
 202320222021
Expected stock price volatility42 %39 %38 %
Expected dividend yield— %— %— %
Risk free interest rate1.60 %1.54 %1.68 %
Average expected life (in years)4.255.214.50
Schedule of Stock Option Activity
The following is a summary of stock option activity for the year ended September 30, 2023:
Number of
Options
Outstanding		Weighted
Average 
Exercise Price		Weighted
Average
Grant Date
Fair Value		Weighted
Average
Remaining
Term
(in years)		Aggregate
Intrinsic
Value
($ millions)
Balances as of September 30, 20221,199,345 $50.46 $14.57 4.54$39.0 
Granted81,750 $93.70 $33.21 
Exercised(83,794)$47.13 $13.06 
Forfeited(19,849)$65.10 $23.39 
Expired(2,088)$49.92 $14.74 
Balances as of September 30, 20231,175,364 $53.46 $15.82 3.80$51.1 
Exercisable at September 30, 2023387,810 $49.20 $13.61 3.49$18.5 
Schedule of Options Outstanding Broken Down by Exercise Price
The options outstanding as of September 30, 2023 broken down by exercise price are as follows:
Exercise PriceNumber of Options OutstandingWeighted Average Exercise PriceWeighted Average Remaining Term
(in Years)
$40.00 -$45.00 700,000 $45.00 3.18
$45.00 -$95.00 475,364 $65.92 4.71
1,175,364 $53.46 3.80
Schedule of Restricted Stock Units Activity
The following is a summary of restricted stock activity through September 30, 2023:
Number of
Shares
Outstanding		Weighted
Average
Grant Date
Fair Value		Weighted
Average
Remaining
Term
(in years)		Aggregate
Intrinsic Value
($ millions)
Balances as of September 30, 2022579,666 $60.22 1.22$48.1 
Granted413,545 $93.59 
Vested(305,561)$58.38 
Forfeited(638)$80.69 
Balances as of September 30, 2023687,012 $81.10 1.24$66.5