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Income Taxes - Reconciliation of U.S. Federal Statutory Tax Rate to Effective Tax Rate (Details) | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Operating Loss Carryforwards [Line Items] |  |  |
U.S. federal statutory tax rate | 21.00% | 21.00% | 21.00%
Difference in tax rate due to: |  |  |
State, net of federal benefit | 1.50% | 1.90% | 2.80%
Valuation allowance adjustments | (0.50%) | 1.00% | 0.00%
Effects of foreign operations | 4.40% | 4.60% | 1.30%
Excess tax benefits on share-based payments | (0.30%) | (0.10%) | (0.20%)
Other, net | 0.20% | (0.10%) | (0.30%)
Effective tax rate | 22.60% | 26.20% | 20.20%
Effects of U.S. tax legislation |  |  |
Difference in tax rate due to: |  |  |
Effect of tax rate change | 0.00% | (0.80%) | (4.70%)
Effects of tax rate changes - International |  |  |
Difference in tax rate due to: |  |  |
Effect of tax rate change | (2.30%) | (1.30%) | 0.30%
Effects of tax rate changes – State, net of federal benefit |  |  |
Difference in tax rate due to: |  |  |
Effect of tax rate change | (1.40%) | 0.00% | 0.00%

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