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Acquisition, Integration and Restructuring Expenses | Global Business Optimization Program (Details) - Global Business Optimization Program [Member] - USD ($)
$ in Thousands
12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges $ 17,371 $ 42,541
Restructuring and Related Cost, Cost Incurred to Date 59,912  
Minimum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 70,000  
Maximum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 80,000  
Americas    
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges 7,882 12,095
Restructuring and Related Cost, Cost Incurred to Date 19,977  
Americas | Minimum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 30,000  
Americas | Maximum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 35,000  
Europe    
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges 8,424 28,992
Restructuring and Related Cost, Cost Incurred to Date 37,416  
Europe | Minimum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 40,000  
Europe | Maximum    
Restructuring Cost and Reserve [Line Items]    
Restructuring and Related Cost, Expected Cost 45,000  
Asia Pacific [Member]    
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges 1,065 1,454
Restructuring and Related Cost, Cost Incurred to Date 2,519  
Employee Severance [Member]    
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges 11,967 26,427
Restructuring and Related Cost, Cost Incurred to Date 38,394  
Professional Services [Member]    
Restructuring Cost and Reserve [Line Items]    
Restructuring Charges 5,404 $ 16,114
Restructuring and Related Cost, Cost Incurred to Date $ 21,518