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Share-Based Compensation - Schedule of Options Outstanding Broken Down by Exercise Price (Details)	12 Months Ended
	Sep. 30, 2024 $ / shares shares
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]
Number of outstanding options (in shares) | shares	3,061,573
Weighted average exercise price (in dollars per share)	$ 51.63
Weighted Average Remaining Term (in Years)	5 years 21 days
$25.00 - $30.00
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]
Exercise price range, lower range limit (in dollars per share)	$ 25.00
Exercise price range, upper range limit (in dollars per share)	$ 30.00
Number of outstanding options (in shares) | shares	810,000
Weighted average exercise price (in dollars per share)	$ 30.00
Weighted Average Remaining Term (in Years)	2 years 2 months 4 days
$35.00 - $40.00
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]
Exercise price range, lower range limit (in dollars per share)	$ 35.00
Exercise price range, upper range limit (in dollars per share)	$ 40.00
Number of outstanding options (in shares) | shares	234,020
Weighted average exercise price (in dollars per share)	$ 39.10
Weighted Average Remaining Term (in Years)	2 years 3 months 21 days
$40.00 - $45.00
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]
Exercise price range, lower range limit (in dollars per share)	$ 40.00
Exercise price range, upper range limit (in dollars per share)	$ 45.00
Number of outstanding options (in shares) | shares	289,212
Weighted average exercise price (in dollars per share)	$ 41.36
Weighted Average Remaining Term (in Years)	4 years 7 months 6 days
$45.00 - $75.00
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]
Exercise price range, lower range limit (in dollars per share)	$ 45.00
Exercise price range, upper range limit (in dollars per share)	$ 75.00
Number of outstanding options (in shares) | shares	1,728,341
Weighted average exercise price (in dollars per share)	$ 65.18
Weighted Average Remaining Term (in Years)	6 years 10 months 9 days

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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No definition available.

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- Definition

The floor of a customized range of exercise prices for purposes of disclosing shares potentially issuable under outstanding stock option awards on all stock option plans and other required information pertaining to awards in the customized range.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (g)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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- Definition

The number of shares reserved for issuance pertaining to the outstanding stock options as of the balance sheet date for all option plans in the customized range of exercise prices.

+ References

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The ceiling of a customized range of exercise prices for purposes of disclosing shares potentially issuable under outstanding stock option awards on all stock option plans and other required information pertaining to awards in the customized range.

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-Topic 718
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-Section 50
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-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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The weighted average price as of the balance sheet date at which grantees could acquire the underlying shares with respect to all outstanding stock options which are in the customized range of exercise prices.

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Weighted average remaining contractual term of outstanding stock options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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