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Stock-Based Compensation (Tables) | 12 Months Ended
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Sep. 30, 2020
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, 2020 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 |  |  | 1,731,277 |  |  | $ | 74.38 |  |  |  | 4,039,917 |
Equity compensation plans not approved by security holders |  |  | — |  |  |  | — |  |  |  | — |
|  |  | 1,731,277 |  |  | $ | 74.38 |  |  |  | 4,039,917 |
Schedule of Stock Based Compensation Expense | Total stock-based compensation expense (income) was as follows (in millions):
|  | Fiscal Year Ended September 30, |
|  | 2020 |  |  | 2019 |  |  | 2018 |
Stock options |  | $ | 6.8 |  |  | $ | 6.9 |  |  | $ | 6.6 |
Stock awards (shares and units) |  |  | 15.8 |  |  |  | 15.0 |  |  |  | 13.7 |
Performance share awards |  |  | 6.7 |  |  |  | 7.1 |  |  |  | 6.4 |
Cash-settled stock appreciation rights |  |  | 0.2 |  |  |  | 0.4 |  |  |  | (0.2 | )
Cash-settled restricted stock unit awards |  |  | 0.7 |  |  |  | 0.6 |  |  |  | 0.4 |
Total stock-based compensation cost |  |  | 30.2 |  |  |  | 30.0 |  |  |  | 26.9 |
Income tax benefit recognized for stock-based compensation |  |  | (3.6 | ) |  |  | (4.9 | ) |  |  | (5.8 | )
Stock-based compensation cost, net of tax |  | $ | 26.6 |  |  | $ | 25.1 |  |  | $ | 21.1 |
Schedule of Stock Option Activity | Stock Options — A summary of the Company’s stock option activity is as follows:
|  | Fiscal Year Ended September 30, |
|  | 2020 |  |  | 2019 |  |  | 2018 |
|  | Options |  |  | Weighted- Average Exercise Price |  |  | Options |  |  | Weighted- Average Exercise Price |  |  | Options |  |  | Weighted- Average Exercise Price |
Outstanding, beginning of year |  |  | 1,328,390 |  |  | $ | 62.62 |  |  |  | 1,268,984 |  |  | $ | 57.03 |  |  |  | 1,531,691 |  |  | $ | 45.14 |
Granted |  |  | 301,025 |  |  |  | 90.28 |  |  |  | 372,450 |  |  |  | 66.09 |  |  |  | 261,900 |  |  |  | 86.59 |
Forfeited |  |  | (40,965 | ) |  |  | 79.00 |  |  |  | (24,175 | ) |  |  | 72.88 |  |  |  | (43,270 | ) |  |  | 66.49 |
Expired |  |  | (5,869 | ) |  |  | 84.25 |  |  |  | (8,721 | ) |  |  | 76.92 |  |  |  | (1 | ) |  |  | 41.52 |
Exercised |  |  | (499,179 | ) |  |  | 52.18 |  |  |  | (280,148 | ) |  |  | 40.62 |  |  |  | (481,336 | ) |  |  | 34.41 |
Outstanding, end of year |  |  | 1,083,402 |  |  |  | 74.38 |  |  |  | 1,328,390 |  |  |  | 62.62 |  |  |  | 1,268,984 |  |  |  | 57.03 |
Exercisable, end of year |  |  | 537,241 |  |  |  | 68.16 |  |  |  | 709,826 |  |  |  | 55.11 |  |  |  | 650,143 |  |  |  | 45.92 |
Schedule of Outstanding Stock Options | Stock options outstanding and exercisable as of September 30, 2020 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 |  |  | 99,514 |  |  |  | 1.7 |  |  | $ | 43.26 |  |  | $ | 3.0 |  |  |  | 99,514 |  |  |  | 1.7 |  |  | $ | 43.26 |  |  | $ | 3.0 |
$60.01 - $80.00 |  |  | 493,958 |  |  |  | 6.2 |  |  |  | 66.41 |  |  |  | 3.5 |  |  |  | 282,819 |  |  |  | 4.7 |  |  |  | 66.64 |  |  |  | 1.9 |
$80.01 - $100.00 |  |  | 489,930 |  |  |  | 8.3 |  |  |  | 88.73 |  |  |  | — |  |  |  | 154,908 |  |  |  | 7.3 |  |  |  | 86.93 |  |  |  | — |
|  |  | 1,083,402 |  |  |  | 6.7 |  |  |  | 74.38 |  |  | $ | 6.5 |  |  |  | 537,241 |  |  |  | 4.9 |  |  |  | 68.16 |  |  | $ | 4.9 |
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 |  |  | 2018 |
Assumptions: |  |  |  |  |  |  |  |  |  |  |  |
Expected term (in years) |  |  | 5.4 |  |  |  | 5.4 |  |  |  | 5.4 |
Expected volatility |  |  | 34.10 | % |  |  | 33.40 | % |  |  | 34.50 | %
Risk-free interest rate |  |  | 1.63 | % |  |  | 2.87 | % |  |  | 2.09 | %
Expected dividend yield |  |  | 1.37 | % |  |  | 1.50 | % |  |  | 1.15 | %
Schedule of Nonvested Stock Activity | Stock Awards — A summary of the Company’s stock award activity is as follows:
|  | Fiscal Year Ended September 30, |
|  | 2020 |  |  | 2019 |  |  | 2018 |
|  | 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 |  |  | 411,510 |  |  | $ | 72.66 |  |  |  | 332,473 |  |  | $ | 69.15 |  |  |  | 352,159 |  |  | $ | 55.22 |
Granted |  |  | 183,725 |  |  |  | 87.82 |  |  |  | 278,175 |  |  |  | 69.98 |  |  |  | 163,225 |  |  |  | 86.07 |
Forfeited |  |  | (27,076 | ) |  |  | 80.57 |  |  |  | (13,610 | ) |  |  | 71.17 |  |  |  | (26,915 | ) |  |  | 65.66 |
Vested |  |  | (221,351 | ) |  |  | 73.64 |  |  |  | (185,528 | ) |  |  | 62.47 |  |  |  | (155,996 | ) |  |  | 56.02 |
Nonvested, end of year |  |  | 346,808 |  |  |  | 79.44 |  |  |  | 411,510 |  |  |  | 72.66 |  |  |  | 332,473 |  |  |  | 69.15 |
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, |
|  | 2020 |  |  | 2019 |  |  | 2018 |
|  | 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 |  |  | 124,750 |  |  | $ | 84.10 |  |  |  | 98,375 |  |  | $ | 89.11 |  |  |  | 116,600 |  |  | $ | 60.71 |
Granted |  |  | 55,325 |  |  |  | 109.09 |  |  |  | 73,950 |  |  |  | 74.70 |  |  |  | 57,625 |  |  |  | 97.79 |
Forfeited |  |  | (16,615 | ) |  |  | 92.88 |  |  |  | (1,600 | ) |  |  | 93.92 |  |  |  | (13,977 | ) |  |  | 71.75 |
Performance adjustments |  |  | 33,941 |  |  |  | 87.44 |  |  |  | 31,768 |  |  |  | 71.43 |  |  |  | 57,914 |  |  |  | 47.50 |
Vested |  |  | (86,951 | ) |  |  | 92.73 |  |  |  | (77,743 | ) |  |  | 76.12 |  |  |  | (119,787 | ) |  |  | 47.55 |
Nonvested, end of year |  |  | 110,450 |  |  |  | 89.54 |  |  |  | 124,750 |  |  |  | 84.10 |  |  |  | 98,375 |  |  |  | 89.11 |
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 |  | 2020 |  |  | 2019 |  |  | 2018 |
Assumptions: |  |  |  |  |  |  |  |  |  |  |  |
Expected term (in years) |  |  | 2.87 |  |  |  | 2.86 |  |  |  | 2.86 |
Expected volatility |  |  | 31.16 | % |  |  | 32.72 | % |  |  | 32.27 | %
Risk-free interest rate |  |  | 1.59 | % |  |  | 2.80 | % |  |  | 1.84 | %

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- Definition Tabular disclosure of option exercise prices, by grouped ranges, including the upper and lower limits of the price range, the number of shares under option, weighted average exercise price and remaining contractual option terms. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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