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Income Taxes - Reconciliation of U.S. Federal Statutory Tax Rate to Effective Tax Rate (Details)
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Operating Loss Carryforwards [Line Items]      
U.S. federal statutory tax rate 21.00% 21.00% 24.50%
Difference in tax rate due to:      
Noncontrolling interests not subject to tax 0.00% (2.70%) (3.00%)
State income taxes, net of federal benefit 2.80% 3.60% 2.90%
Valuation allowance adjustments 0.00% 0.00% 1.10%
Effects of foreign operations 1.30% 1.80% 3.10%
Excess tax benefits on share-based payments (0.20%) (1.00%) (1.10%)
Other, net (0.30%) 0.70% (0.70%)
Effective tax rate 20.20% 23.10% 3.80%
Effect of U.S. tax legislation      
Difference in tax rate due to:      
Effect of tax rate change (4.70%) 0.20% (20.90%)
Effect of tax rate change (4.70%) 0.20% (20.90%)
Effect of tax rate changes - International      
Difference in tax rate due to:      
Effect of tax rate change 0.30% (0.50%) (2.10%)
Effect of tax rate change 0.30% (0.50%) (2.10%)