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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details)
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Effective Tax Rate Reconciliation      
Statutory tax rate 24.53% 35.00% 35.00%
State and local income taxes 1.00% 0.70% 0.60%
Non-United States taxes (4.40%) (9.30%) (8.60%)
Tax effect of foreign dividends 4.20% 0.50% 0.10%
Impact of the Tax Act 0.366 0.000 0.000
Foreign currency transaction loss 0.00% (1.90%) (0.80%)
Share-based compensation (1.30%) (2.80%) 0.00%
Research and development tax credit (1.30%) (0.60%) (2.00%)
Other 0.50% (1.20%) (1.70%)
Effective income tax rate 59.80% 20.40% 22.60%