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Share-Based Compensation (Tables)
 12 Months Ended
Sep. 30, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Share-based Payment Award, Stock options, Valuation 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,
 20222021
2020 (1)
Expected stock price volatility39 %38 %— %
Expected dividend yield— %— %— %
Risk free interest rate1.54 %1.68 %— %
Average expected life (in years)5.214.500.00
(1) There were no stock options granted under the plan during the year ended September 30, 2020.
Share-based Compensation, Stock Options, Activity
The following is a summary of stock option activity for the year ended September 30, 2022:
Shares
Available for
Grant		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, 20211,569,798 1,229,600 $45.17 $12.82 4.21$25.5 
Additional shares authorized by shareholders— 
Granted(240,500)240,500 $62.04 $22.82 
Exercised— (212,356)$31.31 $12.72 
Forfeited43,389 (43,389)$59.89 $21.65 
Expired15,010 (15,010)$46.39 $10.69 
Balances as of September 30, 20221,387,697 1,199,345 $50.46 $14.57 4.54$39.0 
Exercisable at September 30, 2022233,655 $46.14 $11.78 3.33$8.6 
Schedule of Share-based Compensation, Shares Authorized under Stock Option Plans, by Exercise Price Range
The options outstanding as of September 30, 2022 broken down by exercise price are as follows:
Exercise PriceNumber of Options OutstandingWeighted Average Exercise PriceWeighted Average Remaining Term
(in Years)
$— -$5.00 — n/an/a
$5.00 -$10.00 — n/an/a
$10.00 -$15.00 — n/an/a
$15.00 -$20.00 — n/an/a
$20.00 -$25.00 — n/an/a
$25.00 -$30.00 — n/an/a
$30.00 -$35.00 — n/an/a
$35.00 -$40.00 53,627 $39.79 0.37
$40.00 -$45.00 700,000 $45.00 4.18
$45.00 -$50.00 — n/an/a
$50.00 -$55.00 — n/an/a
$55.00 -$60.00 — n/an/a
$60.00 -$65.00 445,718 $60.33 5.61
1,199,345 $50.46 4.54
Schedule of Share-based Compensation, Restricted Stock Units Award Activity
The following is a summary of restricted stock activity through September 30, 2022:
Shares
Available for
Grant		Number of
Shares
Outstanding		Weighted
Average
Grant Date
Fair Value		Weighted
Average
Remaining
Term
(in years)		Aggregate
Intrinsic Value
($ millions)
Balances as of September 30, 2021558,298 577,041 $50.57 1.26$38.0 
Granted(269,129)269,129 $69.41 
Vested— (265,862)$48.60 
Forfeited642 (642)$53.44 
Balances as of September 30, 2022289,811 579,666 $60.22 1.22$48.1