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Share-Based Compensation (Tables) | 12 Months Ended
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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,
| 2023 |  | 2022 |  | 2021
Expected stock price volatility | 42 | % |  | 39 | % |  | 38 | %
Expected dividend yield | — | % |  | — | % |  | — | %
Risk free interest rate | 1.60 | % |  | 1.54 | % |  | 1.68 | %
Average expected life (in years) | 4.25 |  | 5.21 |  | 4.50
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, 2022 | 1,199,345 |  |  | $ | 50.46 |  |  | $ | 14.57 |  |  | 4.54 |  | $ | 39.0 |
Granted | 81,750 |  |  | $ | 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, 2023 | 1,175,364 |  |  | $ | 53.46 |  |  | $ | 15.82 |  |  | 3.80 |  | $ | 51.1 |
Exercisable at September 30, 2023 | 387,810 |  |  | $ | 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 Price |  | Number of Options Outstanding |  | Weighted Average Exercise Price |  | Weighted 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, 2022 | 579,666 |  |  | $ | 60.22 |  |  | 1.22 |  | $ | 48.1 |
Granted | 413,545 |  |  | $ | 93.59 |  |  |  |  |
Vested | (305,561) |  |  | $ | 58.38 |  |  |  |  |
Forfeited | (638) |  |  | $ | 80.69 |  |  |  |  |
Balances as of September 30, 2023 | 687,012 |  |  | $ | 81.10 |  |  | 1.24 |  | $ | 66.5 |

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- Definition Tabular disclosure of the number and weighted-average grant date fair value for restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock units that were granted, vested, or forfeited during the year. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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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 -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -SubTopic 10 -Topic 718 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (e) -SubTopic 10 -Topic 718 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Subparagraph (f)(2) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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