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Income Taxes (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended 12 Months Ended
Jul. 31, 2018
Dec. 31, 2017
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2018
Jan. 31, 2017
Jul. 31, 2018
Tax benefits recognized provided percentage of likelihood of realization is more than         50.00%    
Income Tax Expense (Benefit), Continuing Operations, Adjustment of Deferred Tax (Asset) Liability         $ 0.6    
Other Tax Expense Benefit Transition Tax         12.0    
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense     $ 2.6 $ 1.3 6.4 $ 102.7  
Gross unrecognized tax benefit     $ 27.1   27.1    
Other Tax Expense Benefit Transition Tax Net of Foreign Tax Credit         $ 10.6    
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent   35.00% 28.50% 34.00% 30.10% (15.20%)  
Foreign Earnings Repatriated         $ 51.7    
Scenario, Forecast [Member]              
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00%           26.90%
Effective Income Tax Rate Reconciliation, Tax Credit, Percent 50.00%            
Foreign Earnings Repatriated             $ 42.2