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Basis of Presentation and Principles of Consolidation (Details)
$ / shares in Units, $ in Thousands
3 Months Ended 6 Months Ended
Nov. 13, 2019
Jul. 31, 2021
USD ($)
Jul. 31, 2020
USD ($)
Jul. 31, 2021
USD ($)
Divisions
$ / shares
Jul. 31, 2020
USD ($)
Jan. 31, 2020
Organization, Consolidation and Presentation of Financial Statements Line Items [Line Items]            
Number of operating units | Divisions       3    
Payments to redeem minority non-controlling Interest       $ 0 $ 17,853  
Dot Technology [Member] | Applied Technology [Member]            
Organization, Consolidation and Presentation of Financial Statements Line Items [Line Items]            
Business Acquisition, Name of Acquired Entity Dot Technology Corp.          
Proposed Merger [Member]            
Restructuring Cost and Reserve [Line Items]            
Merger-Name of Acquiring entity       CNH Industrial N.V.    
Proposed Merger [Member] | CNH Industrial N.V.            
Restructuring Cost and Reserve [Line Items]            
Common shares sold       100.00%    
Selling Price, per share | $ / shares       $ 58.00    
Proposed Merger [Member] | General and Administrative Expense            
Restructuring Cost and Reserve [Line Items]            
Restructuring Costs   $ 4,863   $ 5,163    
Dot Technology Corp. [Member] | Applied Technology [Member]            
Organization, Consolidation and Presentation of Financial Statements Line Items [Line Items]            
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners           36.00%
Payments to redeem minority non-controlling Interest     $ 17,853      
Liability for redeemed noncontrolling interest, Current   $ 5,352   $ 5,352