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Stock-Based Compensation (Tables)

12 Months Ended

Sep. 30, 2021

Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]

Schedule of Equity-Based Compensation Plans

Information related to the Company’s equity-based compensation plans in effect as of September 30, 2021 was as follows:

Plan Category		Number of Securities to be Issued Upon Exercise of Outstanding Options or Vesting of Share Awards				Weighted-Average Exercise Price of Outstanding Options				Number of Securities Remaining Available for Future Issuance Under Equity Compensation Plans
Equity compensation plans approved by security holders			1,115,679			$	77.96				3,310,992
Equity compensation plans not approved by security holders			—				—				—
			1,115,679			$	77.96				3,310,992

Schedule of Stock Based Compensation Expense

Total stock-based compensation expense was as follows (in millions):

		Fiscal Year Ended September 30,
		2021				2020				2019
Stock options		$	1.8			$	6.8			$	6.9
Stock awards (shares and units)			19.3				15.8				15.0
Performance share awards			6.1				6.7				7.1
Cash-settled stock appreciation rights			1.1				0.2				0.4
Cash-settled restricted stock unit awards			1.5				0.7				0.6
Total stock-based compensation cost			29.8				30.2				30.0
Income tax benefit recognized for stock-based compensation			(4.4	)			(3.6	)			(4.9	)
Stock-based compensation cost, net of tax		$	25.4			$	26.6			$	25.1

Schedule of Stock Option Activity

Stock Options — A summary of the Company’s stock option activity is as follows:

		Fiscal Year Ended September 30,
		2021								2020								2019
		Options				Weighted- Average Exercise Price				Options				Weighted- Average Exercise Price				Options				Weighted- Average Exercise Price
Outstanding, beginning of year			1,083,402			$	74.38				1,328,390			$	62.62				1,268,984			$	57.03
Granted			—				—				301,025				90.28				372,450				66.09
Forfeited			(8,065	)			81.40				(40,965	)			79.00				(24,175	)			72.88
Expired			(3,999	)			86.59				(5,869	)			84.25				(8,721	)			76.92
Exercised			(599,662	)			71.38				(499,179	)			52.18				(280,148	)			40.62
Outstanding, end of year			471,676				77.96				1,083,402				74.38				1,328,390				62.62
Exercisable, end of year			251,049				74.73				537,241				68.16				709,826				55.11

Schedule of Outstanding Stock Options

Stock options outstanding and exercisable as of September 30, 2021 were as follows (in millions, except share and per share amounts):

		Outstanding																Exercisable
Exercise Prices		Options				Weighted Average Remaining Contractual Life (in years)				Weighted Average Exercise Price				Aggregate Intrinsic Value				Options				Weighted Average Remaining Contractual Life (in years)				Weighted Average Exercise Price				Aggregate Intrinsic Value
$40.00 - $60.00			14,838				1.1			$	41.52			$	0.9				14,838				1.1			$	41.52			$	0.9
$60.01 - $80.00			201,069				6.0				66.28				7.3				122,137				5.2				66.40				4.4
$80.01 - $100.00			255,769				7.6				89.25				3.3				114,074				6.9				87.97				1.6
			471,676				6.7				77.96			$	11.5				251,049				5.7				74.73			$	6.9

Schedule of Weighted-Average Assumptions Used to Value Options

The Company uses the Black-Scholes valuation model to value stock options utilizing the following weighted-average assumptions:

		Fiscal Year Ended September 30,
Options Granted During		2020				2019
Assumptions:
Expected term (in years)			5.4				5.4
Expected volatility			34.10	%			33.40	%
Risk-free interest rate			1.63	%			2.87	%
Expected dividend yield			1.37	%			1.50	%

Schedule of Nonvested Stock Activity

Stock Awards — A summary of the Company’s stock award activity is as follows:

		Fiscal Year Ended September 30,
		2021								2020								2019
		Number of  Shares				Weighted- Average Grant Date Fair Value				Number of  Shares				Weighted- Average Grant Date Fair Value				Number of  Shares				Weighted- Average Grant Date Fair Value
Nonvested, beginning of year			346,808			$	79.44				411,510			$	72.66				332,473			$	69.15
Granted			307,025				82.80				183,725				87.82				278,175				69.98
Forfeited			(36,545	)			78.81				(27,076	)			80.57				(13,610	)			71.17
Vested			(222,400	)			80.39				(221,351	)			73.64				(185,528	)			62.47
Nonvested, end of year			394,888				81.58				346,808				79.44				411,510				72.66

Schedule of Nonvested Performance-Based Units Activity

Performance Share Awards — A summary of the Company’s performance share awards activity is as follows:

		Fiscal Year Ended September 30,
		2021								2020								2019
		Number of  Shares				Weighted- Average Grant Date Fair Value				Number of  Shares				Weighted- Average Grant Date Fair Value				Number of  Shares				Weighted- Average Grant Date Fair Value
Nonvested, beginning of year			110,450			$	89.54				124,750			$	84.10				98,375			$	89.11
Granted			86,550				86.09				55,325				109.09				73,950				74.70
Forfeited			(52,099	)			90.03				(16,615	)			92.88				(1,600	)			93.92
Performance adjustments			63,843				80.45				33,941				87.44				31,768				71.43
Vested			(136,269	)			80.73				(86,951	)			92.73				(77,743	)			76.12
Nonvested, end of year			72,475				93.62				110,450				89.54				124,750				84.10

Schedule of Weighted-Average Assumptions to Estimate Grant Date Fair Values

The grant date fair values of the TSR performance share awards were estimated using a Monte Carlo simulation model utilizing the following weighted-average assumptions:

		Fiscal Year Ended September 30,
Total Shareholder Return Performance Shares Granted During		2021				2020				2019
Assumptions:
Expected term (in years)			2.87				2.87				2.86
Expected volatility			40.33	%			31.16	%			32.72	%
Risk-free interest rate			0.23	%			1.59	%			2.80	%

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