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Income Taxes - Reconciliation of Federal Statutory Tax Rate to Company's Effective Tax Rate (Details)	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Income Tax Disclosure [Abstract]
Federal statutory tax rate	21.00%	21.00%	21.00%
State and local income taxes, net of federal tax benefit	(0.10%)	(0.70%)	(1.00%)
Foreign income tax at rates other than 21%	(14.00%)	(9.10%)	(8.20%)
Effect of foreign operations	10.40%	4.30%	(3.90%)
Effect of Research Credits, FDII and other credits (a)	(2.30%)	(22.10%)	(3.20%)
Effect of share-based compensation	(0.20%)	(0.30%)	(0.40%)
Effect of gain on divestitures	0.00%	0.00%	3.20%
Effect of valuation allowance on non-U.S. tax credits (a)	(5.00%)	19.30%	0.00%
Effect of nondeductible costs	0.00%	2.20%	0.00%
Other, net	1.00%	0.40%	0.40%
Total	10.80%	15.00%	7.90%

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