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Income Taxes (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Jun. 30, 2020
Dec. 31, 2017
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Income Taxes [Line Items]            
U.S. federal statutory tax rate   35.00% 21.00% 21.00% 24.50%  
Discrete net tax expense related to Tax Act       $ 43.8 $ 180.6  
Reversal of non-recurring benefit related to U.S. taxation of deemed foreign dividends       56.2    
Tax benefit related to finalization of assessment of impacts of Tax Act       12.4    
Reduction in equity affiliate income for impacts of the Tax Act         28.5  
Provisional tax expense for deemed repatriation tax and additional foreign taxes on repatriation of earnings         392.4  
Provisional tax expense for deemed repatriation tax         322.1  
Provisional tax expense for additional foreign taxes on repatriation of earnings         70.3  
Provisional tax benefit for re-measurement of net U.S. deferred tax liabilities at lower corporate tax rate         211.8  
Deemed repatriation tax obligation after application of foreign tax credits     $ 211.4      
Deemed repatriation tax obligation in noncurrent liabilities     $ 190.9 215.4    
Period of payment on deemed repatriation tax obligation (in years)     6 years      
Cash paid for taxes (net of cash refunds)     $ 379.9 324.3 372.0  
Impact of tax holidays     $ 26.9      
Impact of tax holidays (in dollars per share)     $ 0.12      
Income tax provision related to estimated withholding taxes on future dividends $ 20.3   $ 20.3      
Proportionate share of accumulated dividend distribution taxes released per the India Finance Act $ 33.8   33.8      
Excess tax benefits from share-based compensation     20.0 14.6 21.5  
Tax benefit from restructuring of foreign subsidiaries         35.7  
Deferred tax assets, valuation allowance     95.0 92.1    
Tax expense for deemed repatriation tax     373.2      
Previously undistributed earnings of foreign subsidiaries and corporate joint ventures     5,800.0      
Cumulative undistributed earnings     4,700.0      
U.S. Income and foreign withholding taxes estimate     454.4      
Unrecognized tax benefits     237.0 231.7 233.6 $ 146.4
Unrecognized tax benefits that would impact effective tax rate     86.1 75.0    
Interest and penalties related to unrecognized tax benefits     6.1 12.0 (2.4)  
Accrued interest and penalties     25.2 19.5    
Additions for tax positions of prior years     17.7 14.2 119.2  
Additions for tax positions of the current year     7.6 $ 7.8 26.4  
Final audit settlement related to unrecognized tax benefits         43.1  
Foreign Loss Carryforwards            
Income Taxes [Line Items]            
Deferred tax assets, valuation allowance     40.3      
Foreign Capital Losses            
Income Taxes [Line Items]            
Deferred tax assets, valuation allowance     52.2      
Discontinued Operations            
Income Taxes [Line Items]            
Tax benefit related to settlement and release of reserves         25.6  
Continuing Operations            
Income Taxes [Line Items]            
Tax benefit related to settlement and release of reserves         $ 9.1  
U.S. Federal            
Income Taxes [Line Items]            
Tax credit carryforwards     14.1      
Increase in capital loss carryforwards     22.6      
Foreign            
Income Taxes [Line Items]            
Tax credit carryforwards     28.6      
Indefinite tax credit carryforwards     13.3      
Operating loss carryforwards     236.6      
Operating loss carryforwards not subject to expiration     83.1      
Decrease in operating loss carryforwards     $ 116.0