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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Effective Tax Rate Reconciliation      
Statutory tax rate 21.00% 21.00% 21.00%
State and local income taxes 1.50% 0.50% 1.40%
Non-United States taxes (4.70%) (5.40%) (3.80%)
Repatriation of foreign earnings 0.90% 1.10% 0.90%
Foreign-derived intangible income (0.60%) (0.50%) (2.80%)
Settlements with taxing authorities 0.30% 0.00% (1.00%)
Change in valuation allowance 4.10% (0.50%) (1.70%)
Share-based compensation (0.60%) (1.00%) (1.10%)
Research and development tax credit (1.30%) (1.00%) (0.60%)
Other (0.10%) 0.20% (0.40%)
Effective income tax rate 20.50% 14.40% 11.90%