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Financial Instruments - Fair Value of Derivative Instruments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2021
Oct. 31, 2020
Oct. 31, 2021
Oct. 31, 2020
Jan. 31, 2021
Derivatives, Fair Value [Line Items]          
Derivative Assets $ 26.9   $ 26.9   $ 10.0
Derivative Liabilities 7.8   7.8   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) 14.7 $ 6.7 24.6 $ (6.8)  
Amount of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) (5.1) 2.8 (14.6) 4.8  
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) (3.0) (0.2) (13.6) 4.1  
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) (0.3) 0.4 0.0 0.1  
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) (1.8) 2.6 (1.0) 0.6  
Foreign exchange contracts | Designated as Hedging Instrument | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative Assets 18.2   18.2   4.7
Foreign exchange contracts | Designated as Hedging Instrument | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative Liabilities 5.9   5.9   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 5.9 $ (0.8) 11.1 $ (6.2)  
Foreign exchange contracts | Derivatives not designated as hedging instruments | Prepaid expenses and other current assets          
Derivatives, Fair Value [Line Items]          
Derivative Assets 8.7   8.7   5.3
Foreign exchange contracts | Derivatives not designated as hedging instruments | Other accrued liabilities          
Derivatives, Fair Value [Line Items]          
Derivative Liabilities $ 1.9   $ 1.9   $ 1.0