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Income Taxes (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2021
Jun. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Taxes [Line Items]          
Cash paid for taxes (net of cash refunds)     $ 369.2 $ 383.8 $ 379.9
Cash provided by operating activities     $ 59.6 $ 6.7 0.0
Income tax provision related to estimated withholding taxes on future dividends         (20.3)
Proportionate share of accumulated dividend distribution taxes released per the India Finance Act         $ (33.8)
U.S. federal statutory tax rate     21.00% 21.00% 21.00%
Deemed repatriation tax obligation after application of foreign tax credits     $ 155.2    
Deemed repatriation tax obligation in noncurrent liabilities $ 157.1   $ 134.6 $ 157.1  
Deemed repatriation tax obligation in noncurrent liabilities, payment period     4 years    
Impact of tax holidays       $ 26.9  
Impact of tax holidays (in dollars per share)       $ 0.12  
Excess tax benefits from share-based compensation     $ 18.3 $ 17.0 $ 20.0
Deferred tax assets, valuation allowance 97.6   100.1 97.6  
Federal foreign income tax credits     14.0    
Cumulative undistributed earnings     6,700.0    
U.S. Income and foreign withholding taxes estimate     621.6    
Unrecognized tax benefits that would impact effective tax rate     74.9    
Reserves for unrecognized tax benefits decrease due to statute of limitations expiration     25.5 104.6 14.0
Reductions for tax positions of prior years     (15.4) (8.2) (4.1)
Reduction caused by changes to income tax rates     (10.6)    
Interest and penalties related to unrecognized tax benefits     1.2 (0.2) $ 6.1
Accrued interest and penalties 24.9   22.6 24.9  
Discontinued Operations          
Income Taxes [Line Items]          
Tax benefit related to release of reserves       60.0  
Foreign Loss Carryforwards          
Income Taxes [Line Items]          
Deferred tax assets, valuation allowance     26.8    
Foreign Capital Losses          
Income Taxes [Line Items]          
Deferred tax assets, valuation allowance     45.3    
U.S. Federal          
Income Taxes [Line Items]          
Tax credit carryforwards     15.7    
Foreign          
Income Taxes [Line Items]          
Tax credit carryforwards     18.5    
Indefinite tax credit carryforwards     12.2    
Operating loss carryforwards     268.8    
Operating loss carryforwards not subject to expiration     94.6    
PMD | Discontinued Operations          
Income Taxes [Line Items]          
Tax benefit related to release of reserves $ 51.8   14.8 51.8  
EfW | Discontinued Operations          
Income Taxes [Line Items]          
Tax benefit related to release of reserves   $ 8.2   8.2  
Discontinued operations | PMD          
Income Taxes [Line Items]          
Reserves for unrecognized tax benefits decrease due to statute of limitations expiration     17.2 65.6  
Related deferred tax assets     $ 2.4 13.8  
Discontinued operations | EfW          
Income Taxes [Line Items]          
Reserves for unrecognized tax benefits decrease due to statute of limitations expiration       8.2  
Other reserves          
Income Taxes [Line Items]          
Reserves for unrecognized tax benefits decrease due to statute of limitations expiration       27.5  
Related deferred tax assets       8.4  
Tax benefit       $ 21.5