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Employee Stock Purchase and Stock Incentive Plans - Unvested Restricted Stock and Restricted Stock Units Roll Forward (Details)	12 Months Ended
	Sep. 30, 2022 $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested, Number of Shares [Roll Forward]
Granted (in shares)	150,951
Restricted Stock And Restricted Stock Units
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested, Number of Shares [Roll Forward]
Beginning balance outstanding (in shares)	1,444,231
Granted (in shares)	623,323
Vested (in shares)	(602,793)
Canceled (in shares)	(89,332)
Ending balance outstanding (in shares)	1,375,429
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]
Beginning balance outstanding (in dollars per share) | $ / shares	$ 91.23
Granted (in dollars per share) | $ / shares	127.35
Vested (in dollars per share) | $ / shares	80.95
Canceled (in dollars per share) | $ / shares	113.89
Ending balance outstanding (in dollars per share) | $ / shares	$ 110.64

X

- Definition

Gross number of share options (or share units) granted during the period.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)(1)(iv)(01)
-URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901

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- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (d)(1)
-URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901

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