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Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2017
Effective Income Tax Rate Reconciliation, Percent 22.50% 23.70% 17.40%  
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00% 21.00% 28.10%  
Undistributed Earnings of Foreign Subsidiaries $ 274.1      
Deferred Tax Assets, Operating Loss Carryforwards 52.0 $ 54.0    
Valuation Allowance 12.0 31.6    
Income Taxes Paid 677.1 633.8 $ 529.7  
Unrecognized Tax Benefits 62.3 54.2 45.2 $ 74.6
Unrecognized Tax Benefits that Would Impact Effective Tax Rate 49.9 43.3 36.1  
Unrecognized Tax Benefits, Interest on Income Taxes Expense 1.6 1.9 $ 3.2  
Unrecognized Tax Benefits, Interest on Income Taxes Accrued 8.8 9.3    
Unrecognized Tax Benefits, Income Tax Penalties Accrued   0.3    
Tax Settlements Future Impact Potential On Earnings Maximum 4.0      
Unrecognized Tax Benefits, Income Tax Penalties Expense 0.3      
Deferred Tax Assets, Net of Valuation Allowance 368.8 347.5    
Other Assets [Member]        
Long-term Deferred Tax Assets 38.8 64.0    
Foreign Tax Authority [Member]        
Deferred Tax Assets, Operating Loss Carryforwards 55.3      
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration 0.9      
Operating loss carry forwards not subject to expiration 54.4      
Domestic Tax Authority [Member]        
Operating Loss Carryforwards 58.7      
State and Local Jurisdiction [Member]        
Operating Loss Carryforwards 374.8      
Income Taxes Payable [Member]        
Unrecognized Tax Benefits, Interest on Income Taxes Accrued $ 1.0 $ 4.3