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Acquisitions of and Investments in Businesses and Technologies - Business Acquisition (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended 12 Months Ended
Nov. 13, 2019
Nov. 01, 2019
Jan. 01, 2019
Jul. 31, 2020
Apr. 30, 2020
Jul. 31, 2020
Jan. 31, 2021
Jan. 31, 2020
Jan. 31, 2019
Business Acquisition [Line Items]                  
Goodwill, Acquired During Period               $ 55,989  
Goodwill             $ 107,677 106,509 $ 50,942
Payments for redeemable noncontrolling interest             17,853 0 0
Smart Ag and DOT                  
Business Acquisition [Line Items]                  
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Consideration Transferred           $ 0      
Goodwill       $ 55,582   $ 55,582   56,022  
Applied Technology                  
Business Acquisition [Line Items]                  
Goodwill, Acquired During Period               55,989  
Goodwill             73,811 72,643 17,076
Applied Technology | Smart Ag                  
Business Acquisition [Line Items]                  
Business acquisition, effective date of acquisition   Nov. 01, 2019              
Name of acquired entity   Smart Ag              
Applied Technology | Dot Technology                  
Business Acquisition [Line Items]                  
Business acquisition, effective date of acquisition Nov. 13, 2019                
Business Acquisition, Percentage of Voting Interests Acquired 60.00%                
Payments for redeemable noncontrolling interest       $ 17,853          
Liability for Redeemed Noncontrolling interest, Current             5,333    
Applied Technology | Smart Ag and DOT                  
Business Acquisition [Line Items]                  
Indefinite-lived Intangible Assets Acquired               31,800  
Goodwill, Acquired During Period               56,022  
Total purchase price from business acquisition               54,000  
Applied Technology | AgSync                  
Business Acquisition [Line Items]                  
Business acquisition, effective date of acquisition     Jan. 01, 2019            
Name of acquired entity     AgSync Inc.            
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Consideration Transferred         $ 300        
Total purchase price from business acquisition     $ 9,700            
Fair value of contingent consideration     $ 2,052            
Amount of goodwill that is tax deductible                 4,526
Identifiable intangible assets acquired                 5,700
Engineered Films                  
Business Acquisition [Line Items]                  
Goodwill, Acquired During Period               0  
Goodwill             $ 33,232 $ 33,232 $ 33,232