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Financial Instruments - Fair Value of Derivative Instruments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2021
Jul. 31, 2020
Jul. 31, 2021
Jul. 31, 2020
Jan. 31, 2021
Derivatives, Fair Value [Line Items]          
Derivative Assets $ 10.5   $ 10.5   $ 10.0
Derivative Liabilities 6.8   6.8   17.5
Foreign exchange contracts | Designated as Hedging Instrument          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) recognized in accumulated other comprehensive income on derivatives (effective portion) 3.8 $ (18.6) 9.9 $ (13.5)  
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (5.6) 0.8 (9.5) 2.0  
Foreign exchange contracts | Designated as Hedging Instrument | Net revenue          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (5.1) 1.6 (10.6) 4.3  
Foreign exchange contracts | Designated as Hedging Instrument | Cost of revenue          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) 0.0 (0.1) 0.3 (0.3)  
Foreign exchange contracts | Designated as Hedging Instrument | Operating expenses          
Derivatives, Fair Value [Line Items]          
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (0.5) (0.7) 0.8 (2.0)  
Foreign exchange contracts | Designated as Hedging Instrument | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative Assets 8.7   8.7   4.7
Foreign exchange contracts | Designated as Hedging Instrument | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative Liabilities 3.9   3.9   16.5
Foreign exchange contracts | Derivatives not designated as hedging instruments | Interest and other expense, net          
Derivatives, Fair Value [Line Items]          
Amount and location of (loss) gain recognized on derivatives in net income (1.7) $ (4.4) 5.2 $ (5.4)  
Foreign exchange contracts | Derivatives not designated as hedging instruments | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative Assets 1.8   1.8   5.3
Foreign exchange contracts | Derivatives not designated as hedging instruments | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative Liabilities $ 2.9   $ 2.9   $ 1.0