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Financial Instruments (Fair Value of Derivative Instruments) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2020
Jul. 31, 2019
Jul. 31, 2020
Jul. 31, 2019
Jan. 31, 2020
Derivatives, Fair Value [Line Items]          
Derivative assets $ 14.5   $ 14.5   $ 9.4
Derivative liabilities 30.7   30.7   4.7
Foreign currency contracts | Designated as hedging instrument          
Derivatives, Fair Value [Line Items]          
Amount of (loss) gain recognized in accumulated other comprehensive loss on derivatives (effective portion) (18.6) $ (0.9) (13.5) $ 3.1  
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) 0.8 3.4 2.0 4.1  
Foreign currency contracts | Designated as hedging instrument | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative assets 7.3   7.3   1.0
Foreign currency contracts | Designated as hedging instrument | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative liabilities 21.6   21.6   2.8
Foreign currency contracts | Derivatives not designated as hedging instruments | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative assets 7.2   7.2   8.4
Foreign currency contracts | Derivatives not designated as hedging instruments | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative liabilities 9.1   9.1   $ 1.9
Net revenue | Foreign currency contracts | Designated as hedging instrument          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) 1.6 5.0 4.3 8.5  
Cost of revenue | Foreign currency contracts | Designated as hedging instrument          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (0.1) (0.2) (0.3) (0.3)  
Operating expenses | Foreign currency contracts | Designated as hedging instrument          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (0.7) (1.4) (2.0) (4.1)  
Interest and other expense, net | Foreign currency contracts | Derivatives not designated as hedging instruments          
Derivatives, Fair Value [Line Items]          
Amount and location of (loss) gain recognized on derivatives in net income $ (4.4) $ (2.4) $ (5.4) $ 1.7