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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 01, 2018
Dec. 31, 2017
Oct. 31, 2018
Jul. 31, 2018
Oct. 31, 2017
Jul. 31, 2018
Tax benefits recognized provided percentage of likelihood of realization is more than     50.00%      
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense     $ 0.2   $ 3.8  
Gross unrecognized tax benefit     $ 29.3      
Other Tax Expense Benefit Transition Tax Net of Foreign Tax Credit       $ 12.4    
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00% 35.00% 23.30%   32.00% 26.90%
Domestic Tax Authority [Member]            
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent           10.50%