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Acquisitions and Divestitures of and Investments in Businesses and Technologies Business Combinations (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Nov. 13, 2019
Nov. 01, 2019
Oct. 31, 2020
Jul. 31, 2020
Jan. 31, 2020
Oct. 31, 2020
Oct. 31, 2019
Business Combination, Description [Abstract]              
Business Combination, Consideration Transferred     $ 0     $ 0  
Redeemable Noncontrolling Interest Payable, Noncurrent     10,889   $ 5,936 10,889  
Payments to redeem minority non-controlling Interest       $ 17,853   17,853 $ 0
Applied Technology [Member] | Smart Ag [Member]              
Business Combination, Description [Abstract]              
Business Acquisition, Name of Acquired Entity   Smart Ag, Inc.          
Business Acquisition, Effective Date of Acquisition   Nov. 01, 2019          
Applied Technology [Member] | Dot Technology [Member]              
Business Combination, Description [Abstract]              
Business Acquisition, Name of Acquired Entity DOT            
Business Acquisition, Effective Date of Acquisition Nov. 13, 2019            
Redeemable Noncontrolling Interest, Percentage of Voting Interests Acquired 60.00%            
Redeemable Noncontrolling Interest Payable, Noncurrent     $ 5,087     $ 5,087  
Payments to redeem minority non-controlling Interest       $ 17,853      
Applied Technology [Member] | Smart Ag and DOT [Member]              
Business Combination, Description [Abstract]              
Business Combination, Consideration Transferred         $ 54,000