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Income Taxes - Reconciliation of U.S. Federal Statutory Tax Rate to Effective Tax Rate (Details)
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Operating Loss Carryforwards [Line Items]      
U.S. federal statutory tax rate 21.00% 21.00% 21.00%
Difference in tax rate due to:      
Noncontrolling interests not subject to tax 0.00% 0.00% (2.70%)
State income taxes, net of federal benefit 1.90% 2.80% 3.60%
Valuation allowance adjustments 1.00% 0.00% 0.00%
Effects of foreign operations 4.60% 1.30% 1.80%
Excess tax benefits on share-based payments (0.10%) (0.20%) (1.00%)
Other, net (0.10%) (0.30%) 0.70%
Effective tax rate 26.20% 20.20% 23.10%
Effect of U.S. tax legislation      
Difference in tax rate due to:      
Effect of tax rate change (0.80%) (4.70%) 0.20%
Effect of tax rate changes - International      
Difference in tax rate due to:      
Effect of tax rate change (1.30%) 0.30% (0.50%)