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Revenues - Additional Information (Details)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2019
USD ($)
Oct. 31, 2018
USD ($)
Country
Oct. 31, 2019
USD ($)
Country
Oct. 31, 2018
USD ($)
Country
Jan. 31, 2019
USD ($)
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]          
Deferred revenue $ 325.6   $ 325.6   $ 375.0
Deferred revenue, revenue recognized out of beginning balance 141.5 $ 120.1 315.9 $ 252.1  
Remaining performance obligation, revenue expected to be recognized $ 636.0   $ 636.0    
Revenue remaining performance obligation, percentage 68.00%   68.00%    
Customer Concentration Risk | Revenue          
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]          
Concentration risk percentage 10.00% 12.00% 10.00% 12.00%  
Customer Concentration Risk | United States | Revenue          
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]          
Concentration risk percentage 75.00% 75.00% 75.00% 76.00%  
Customer Concentration Risk | Japan | Revenue          
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]          
Concentration risk percentage 10.00%        
Customer Concentration Risk | Outside United States | Revenue          
New Accounting Pronouncements Or Change In Accounting Principle [Line Items]          
Number of countries outside domestic that contributes more than concentration threshold | Country   0 0 0