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Share-Based Compensation (Tables)

12 Months Ended

Sep. 30, 2025

Share-Based Payment Arrangement [Abstract]

Schedule of Fair Value Estimated at Grant Date Based on Black-Scholes-Merton Option-Pricing Model Using Weighted-Average Assumptions

Fair value is estimated at the grant date based on a Black-Scholes-Merton option-pricing model using the following weighted-average assumptions:

			Fiscal Year Ended September 30,
			2025						2024						2023
Expected stock price volatility			36		%				38		%				42		%
Expected dividend yield			—		%				—		%				—		%
Risk free interest rate			2.68		%				2.21		%				1.60		%
Average expected life (in years)			4.91						6.32						4.25

Schedule of Stock Option Activity

The following is a summary of stock option activity for the year ended September 30, 2025:

			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, 2024			4,591,552						$	34.42					$	12.86					5.06						$	88.7
Granted			533,127						$	77.18					$	27.93
Exercised			(407,084)						$	26.26					$	8.43
Forfeited			(55,993)						$	39.62					$	13.39
Expired			(851)						$	27.60					$	10.84
Balances as of September 30, 2025			4,660,751						$	39.97					$	14.96					4.47						$	284.1
Exercisable at September 30, 2025			1,234,595						$	23.47					$	6.83					1.79						$	95.6

Schedule of Options Outstanding Broken Down by Exercise Price

The options outstanding as of September 30, 2025 broken down by exercise price are as follows:

Exercise Price												Number of Options Outstanding						Weighted Average Exercise Price						Weighted Average Remaining Term (in Years)
$	15.00		-			$	20.00					1,080,000						$	20.00					1.18
$	25.00		-			$	30.00					517,508						$	26.79					2.82
$	40.00		-			$	45.00					2,155,294						$	42.77					6.01
$	45.00		-			$	50.00					386,670						$	47.26					5.36
$	50.00		-			$	85.00					521,279						$	77.41					5.92
												4,660,751						$	39.97					4.47

Schedule of Restricted Stock Units Activity

The following is a summary of restricted stock activity through September 30, 2025:

			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, 2024			1,507,715						$	41.42					1.13						$	81.0
Granted			749,809						$	74.65
Vested			(748,398)						$	40.02
Forfeited			(1,327)						$	47.68
Balances as of September 30, 2025			1,507,799						$	58.64					1.24						$	152.2

Schedule of Performance Shares, Activity

The following is a summary of performance share activity through September 30, 2025:

			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, 2024			—						n/a						n/a						n/a
Granted			225,000						$	76.12
Balances as of September 30, 2025			225,000						$	76.12					3.50						$	22.7

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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.

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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.

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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.

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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.

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Tabular disclosure of number and weighted-average grant date fair value for nonvested performance shares.

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