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Income Taxes - Federal Rate Reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended | 36 Months Ended
--- | --- | ---
Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2023
Income Taxes |  |  |  |
Valuation allowances | $ 16,800 |  |  |
Rate reconciliation |  |  |  |
Tax at federal statutory rate | 44,800 | $ 115,600 | $ 85,800 |
State income tax, net of federal benefit | (7,100) | 20,200 | 8,000 |
Foreign residual income | 59,400 | 46,400 | 45,600 |
Valuation allowance | 16,600 | (18,000) | 12,400 |
Nondeductible costs | 10,700 | 19,700 | 6,000 |
Change in uncertain tax positions | 9,400 | 15,400 | 8,500 |
Audit settlement | 1,900 | (1,500) | 10,400 |
Foreign tax rate differential | 200 | 1,100 | 8,800 |
Income tax credits and incentives | (68,200) | (51,000) | (51,300) |
Exclusion of tax on non-controlling interests | (9,400) | (5,100) | (6,100) |
Tax exempt income | (3,300) | (5,900) | (5,400) |
Tax rate changes | (3,200) | (4,100) | (26,800) |
Return to provision | (500) | (1,500) | (9,500) |
Other items, net | 4,800 | 4,800 | 2,600 |
Total income tax expense | $ 56,052 | $ 136,051 | $ 89,011 |
Major elements contributing to the difference between the U.S. federal statutory rate of 21% for fiscal year 2022, 2021 and 2020 and the effective tax rate |  |  |  |
Tax at federal statutory rate (as a percent) | 21.00% | 21.00% | 21.00% | 21.00%
State income tax, net of federal benefit (as a percent) | (3.30%) | 3.70% | 2.00% |
Foreign residual income (as a percent) | 27.80% | 8.40% | 11.10% |
Valuation allowance (as a percent) | 7.80% | (3.30%) | 3.00% |
Nondeductible costs (as a percent) | 5.00% | 3.60% | 1.50% |
Change in uncertain tax positions (as a percent) | 4.40% | 2.80% | 2.10% |
Audit settlement (as a percent) | 0.90% | (0.30%) | 2.50% |
Foreign tax rate differential (as a percent) | 0.10% | 0.20% | 2.10% |
Income tax credits and incentive (as a percent) | (31.90%) | (9.30%) | (12.50%) |
Exclusion of tax on non-controlling interests (as a percent) | (4.40%) | (0.90%) | (1.50%) |
Tax exempt income (as a percent) | (1.50%) | (1.10%) | (1.30%) |
Tax rate changes (as a percent) | (1.50%) | (0.70%) | (6.50%) |
Return to provision (as a Percent) | (0.20%) | (0.30%) | (2.30%) |
Other items, net (as a percent) | 2.10% | 0.90% | 0.60% |
Total income tax expense (as a percent) | 26.30% | 24.70% | 21.80% |

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- Definition Amount 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 state and local income tax expense (benefit). + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -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 + Details
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- Definition Amount 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 increase (decrease) in income tax contingencies. Including, but not limited to, domestic tax contingency, foreign tax contingency, state and local tax contingency, and other contingencies. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -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 + Details
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- Definition Amount 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 tax credits. Including, but not limited to, research credit, foreign tax credit, investment tax credit, and other tax credits. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -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 + Details
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- Definition Amount 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 income (loss) exempt from income taxes. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -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 + Details
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- Definition Amount of increase (decrease) in the valuation allowance for a specified deferred tax asset. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-2 + Details
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