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Stockholders' Equity (Tables) | 3 Months Ended
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Dec. 31, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |
Summary of Common Stock and Treasury Stock Share Activity | A summary of common stock and treasury stock share activity is as follows:
|  | Common Stock |  |  | Treasury Stock |  |  | Treasury stock held for deferred compensation |
Balances as of September 30, 2022 |  |  | 72,960 |  |  |  | (13,207 | ) |  |  | (139 | )
Sales of treasury stock |  |  | — |  |  |  | 19 |  |  |  | — |
Purchase of treasury stock |  |  | — |  |  |  | (274 | ) |  |  | — |
Common shares issued for benefit plans |  |  | — |  |  |  | 2 |  |  |  | — |
Purchases of stock by deferred compensation |  |  | — |  |  |  | — |  |  |  | (1 | )
Distribution of stock from deferred compensation |  |  | — |  |  |  | — |  |  |  | 18 |
Balances as of December 31, 2022 |  |  | 72,960 |  |  |  | (13,460 | ) |  |  | (122 | )
Balances as of September 30, 2023 |  |  | 72,960 |  |  |  | (13,070 | ) |  |  | (55 | )
Sales of treasury stock |  |  | — |  |  |  | 247 |  |  |  | — |
Purchases of stock by deferred compensation |  |  | — |  |  |  | — |  |  |  | (1 | )
Distribution of stock from deferred compensation |  |  | — |  |  |  | — |  |  |  | 2 |
Balances as of December 31, 2023 |  |  | 72,960 |  |  |  | (12,823 | ) |  |  | (54 | )
Summary of Activity for RSUs | A summary of the activity for RSUs:
|  | Three Months Ended December 31, 2023 |
|  | Number of units |  |  | Weighted-Average Grant Date Fair Value |
Beginning balance |  |  | 177 |  |  | $ | 93.46 |
Granted |  |  | 12 |  |  |  | 131.66 |
Released |  |  | (19 | ) |  |  | 85.91 |
Ending balance |  |  | 170 |  |  | $ | 96.95 |
Stock Options [Member] |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |
Summary of Activity for Stock Option Awards | The following is a summary of the activity for stock option awards:
|  | Three Months Ended December 31, 2023 |
|  | Number of options |  |  | Weighted-Average Exercise Price per Share |
Beginning balance |  |  | 4,842 |  |  | $ | 80.48 |
Granted |  |  | 6 |  |  |  | 131.66 |
Exercised |  |  | (235 | ) |  |  | 71.74 |
Forfeited |  |  | (2 | ) |  |  | 92.74 |
Ending balance |  |  | 4,611 |  |  | $ | 80.99 |
Changes in Non-vested Stock Options | Changes in non-vested stock options were as follows:
|  | Three Months Ended December 31, 2023 |
|  | Number of options |  |  | Weighted-Average Grant Date Fair Value per Share |
Beginning balance |  |  | 1,393 |  |  | $ | 33.96 |
Granted |  |  | 6 |  |  |  | 61.03 |
Exercised |  |  | (572 | ) |  |  | 32.37 |
Forfeited |  |  | (1 | ) |  |  | 34.42 |
Ending balance |  |  | 826 |  |  | $ | 35.26 |
Stock Options Vested, or Expected to Vest and Exercisable | Information about stock options that have vested, or are expected to vest, and are exercisable at December 31, 2023 was as follows:
|  | Number of options |  |  | Weighted-Average Exercise Price |  |  | Weighted-Average Remaining Life in Years |  |  | Aggregate Intrinsic Value |
Options outstanding |  |  | 4,611 |  |  | $ | 80.99 |  |  |  | 5.4 |  |  | $ | 254,265 |
Options vested and exercisable |  |  | 3,753 |  |  |  | 77.96 |  |  |  | 4.8 |  |  |  | 218,292 |
Options vested and expected to vest |  |  | 4,577 |  |  |  | 80.90 |  |  |  | 5.4 |  |  |  | 252,769 |
Performance Restricted Stock Units [Member] |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |
Schedule of Assumptions to Value PSUs Granted | The fair value of the PSUs for the November 2023 grant was determined based upon a Monte Carlo valuation method. The assumptions used in the Monte Carlo method to value the PSUs granted, which includes the grant date fair value outcome from the Monte Carlo method, were as follows:
|  | December 31, 2023 |
Expected volatility |  |  | 30.2 | %
Risk free interest rate |  |  | 4.5 | %
Expected life |  | 3 years |
Grant date fair value |  | $ | 146.47 |
Summary of Activity for PSUs | A summary of the activity for PSUs:
|  | Three Months Ended December 31, 2023 |
|  | Number of units |  |  | Weighted-Average Grant Date Fair Value |
Beginning balance |  |  | — |  |  | $ | — |
Granted |  |  | 66 |  |  |  | 146.47 |
Forfeited |  |  | — |  |  |  | — |
Ending balance |  |  | 66 |  |  | $ | 146.47 |

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