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Summary of Significant Accounting Policies - Receivables and Financing Arrangements (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2019
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Credit card financing receivables $ 87.0      
Percentage of credit card financing receivables considered current 98.00%      
Loan impairment charges $ 0.0 $ 3.0 $ 12.6  
Account receivable allowance 31.5 17.2    
Koidu Limited        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loan     43.8  
Loan impairment charges     4.2 $ 42.1
Loan, net     1.7  
Proceeds from sale of financing receivables   $ 1.7    
Other Diamond Mining and Exploration Company        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Loan impairment charges     $ 8.4  
Effect of Adoption Increase/(Decrease)        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Account receivable allowance $ 12.2