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Share-Based Compensation (Tables)
 12 Months Ended
Sep. 30, 2021
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,
 2021
2020 (1)
2019
Expected stock price volatility38 %— %27 %
Expected dividend yield— %— %— %
Risk free interest rate1.68 %— %1.86 %
Average expected life (in years)4.500.006.05
(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, 2021:
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, 2020724,483 1,408,036 $38.79 $11.38 4.16$17.4 
Additional shares authorized by shareholders1,000,000 — 
Granted(277,700)277,700 $58.64 $19.83 
Exercised— (333,121)$28.71 $12.74 
Forfeited122,014 (122,014)$47.13 $12.22 
Expired1,001 (1,001)$41.83 $9.04 
Balances as of September 30, 20211,569,798 1,229,600 $45.17 $12.82 4.21$25.5 
Exercisable at September 30, 2021237,040 $31.83 $11.94 0.56$8.1 
Schedule of Share-based Compensation, Shares Authorized under Stock Option Plans, by Exercise Price Range
The options outstanding as of September 30, 2021 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 -$30.00 149,706 $25.91 0.37
$30.00 -$35.00 — n/an/a
$35.00 -$40.00 80,729 $39.79 1.37
$40.00 -$45.00 739,315 $44.94 4.92
$45.00 -$50.00 — n/an/a
$50.00 -$55.00 — n/an/a
$55.00 -$60.00 259,850 $58.61 5.27
1,229,600 $30.75 5.64
Schedule of Share-based Compensation, Restricted Stock Units Award Activity
The following is a summary of restricted stock activity through September 30, 2021:
Shares
Available for
Grant		Number of
Shares
Outstanding		Weighted
Average
Grant Date
Fair Value		Weighted
Average
Remaining
Term
(in years)		Aggregate
Intrinsic Value
($ millions)
Balances as of September 30, 2020861,454 484,346 $42.97 1.37$24.8 
Granted(307,204)307,204 $57.33 
Vested— (210,461)$43.11 
Forfeited4,048 (4,048)$41.81 
Balances as of September 30, 2021558,298 577,041 $50.57 1.26$38.0