Income Taxes - Reconciliation of Federal Statutory Tax Rate to Company's Effective Tax Rate (Detail)	12 Months Ended
Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Income Tax Disclosure [Abstract]
Federal statutory tax rate	21.00%	21.00%	21.00%
State and local income taxes, net of federal tax benefit	(1.00%)	(1.10%)	(2.70%)
Foreign income tax at rates other than 21%	(8.20%)	(7.30%)	(6.40%)
Effective Income Tax Rate Reconciliation, Effect Of Foreign Operations, Percent	(3.90%)	5.60%	(1.00%)
Effect of Research Credits and FDII/Domestic Production Activities	(3.20%)	(2.20%)	(2.00%)
Effect of share-based compensation	(0.40%)	(1.70%)	0.10%
Effect of gain on divestitures	3.20%	0.00%	0.00%
Effect of valuation allowance release	0.00%	(5.50%)	(2.20%)
Other, net	0.40%	(0.50%)	(1.60%)
Total	7.90%	8.30%	5.20%

Effective Income Tax Rate Reconciliation, Benefit From Share-Based Compensation

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Effective Income Tax Rate Reconciliation, Effect Of Foreign Operations, Percent

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 12
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482685/740-10-50-12

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
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-Name Accounting Standards Codification
-Section S99
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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in the valuation allowance for deferred tax assets.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Percentage of difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to disposition of asset. Includes, but is not limited to, intra-entity transfer of asset other than inventory.

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Percentage of reported income tax benefit from difference to income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to statutory income tax expense (benefit) outside of the country of domicile.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to state and local income tax expense (benefit), net of federal tax expense (benefit).

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