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Summary of Significant Accounting Policies (Details)
$ in Thousands
3 Months Ended 12 Months Ended
Apr. 30, 2018
USD ($)
Jan. 31, 2020
USD ($)
Jan. 31, 2020
USD ($)
segment
Jan. 31, 2020
USD ($)
ReportingUnits
Jan. 31, 2020
USD ($)
Jan. 31, 2019
USD ($)
Jan. 31, 2019
USD ($)
segment
Jan. 31, 2019
USD ($)
ReportingUnits
Jan. 31, 2019
USD ($)
Jan. 31, 2018
Jan. 31, 2018
segment
Jan. 31, 2018
ReportingUnits
Jan. 31, 2018
USD ($)
Feb. 01, 2019
USD ($)
Basis of Presentation and Principles of Consolidation                            
Number of reportable segments     3 3     3 3     3 3    
Noncontrolling Interest                            
Redeemable noncontrolling interest   $ 21,302 $ 21,302 $ 21,302 $ 21,302 $ 0 $ 0 $ 0 $ 0          
Related Party Transactions [Abstract]                            
Related Party Transaction, Amounts of Transaction         3,176                  
Due to Affiliate, Current   409 409 409 409                  
Cash and Cash Equivalents [Abstract]                            
Cash and cash equivalents, on deposit in the United States   14,003 14,003 14,003 14,003 61,221 61,221 61,221 61,221          
Cash held outside the United States   6,704 6,704 6,704 6,704 4,566 4,566 4,566 4,566          
Equity Investments [Abstract]                            
Equity Method Investment, Realized Gain (Loss) on Disposal         0       5,785       $ 0  
Accounts Receivable, Net, Current [Abstract]                            
Unbilled receivables   6,954 6,954 6,954 6,954 1,391 1,391 1,391 1,391          
Pre-Contract Costs [Abstract]                            
Pre-contract costs deferred to inventory   0 0 0 0 0 0 0 0          
Pre-contract deferred costs written off         0       0       $ 0  
New Accounting Pronouncements and Changes in Accounting Principles [Abstract]                            
Finance Lease, Right-of-Use Asset                           $ 233
Operating Lease right-of-use asset   4,275 4,275 4,275 4,275 0 0 0 0         3,807
Lease liability, current   2,530 2,530 2,530 2,530 0 0 0 0         1,446
Lease liability, noncurrent   $ 2,627 $ 2,627 $ 2,627 $ 2,627 $ 0 $ 0 $ 0 0         $ 2,571
Dot Technology Corp. [Member]                            
Noncontrolling Interest                            
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners   36.00% 36.00% 36.00% 36.00%                  
Redeemable noncontrolling interest   $ 21,302 $ 21,302 $ 21,302 $ 21,302                  
Aerostar Integrated Systems [Member]                            
Noncontrolling Interest                            
Joint venture, ownership percentage   75.00% 75.00% 75.00% 75.00%                  
Business Acquisition, Percentage of Voting Interests Acquired   25.00% 25.00% 25.00% 25.00%                  
Minimum                            
Intangible Assets                            
Finite-lived intangible assets, useful life, minimum, years   3 years                        
Maximum                            
Intangible Assets                            
Finite-lived intangible assets, useful life, minimum, years   20 years                        
Building and Improvements | Minimum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   15 years                        
Building and Improvements | Maximum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   39 years                        
Machinery and Equipment | Applied Technology | Minimum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   3 years                        
Machinery and Equipment | Applied Technology | Maximum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   5 years                        
Machinery and Equipment | Engineered Films | Minimum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   5 years                        
Machinery and Equipment | Engineered Films | Maximum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   12 years                        
Machinery and Equipment | Aerostar | Minimum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   3 years                        
Machinery and Equipment | Aerostar | Maximum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   5 years                        
Furniture, Fixtures, Office Equipment and Other [Member] | Minimum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   3 years                        
Furniture, Fixtures, Office Equipment and Other [Member] | Maximum                            
Property, Plant and Equipment [Abstract]                            
Property, plant and equipment useful lives   7 years                        
AgEagle Aerial Systems | Applied Technology                            
Equity Investments [Abstract]                            
Equity Method Investment, Ownership Percentage                   5.00% 5.00% 5.00% 5.00%  
Variable Interest Entity, name of investee equity method investment                   Ag-Eagle Aerial Systems, Inc.        
SST | Applied Technology                            
Equity Investments [Abstract]                            
Equity Method Investment, Ownership Percentage                   22.00% 22.00% 22.00% 22.00%  
Variable Interest Entity, name of investee equity method investment                   Site-Specific Technology Development Group, Inc.        
Proceeds from Sale and Maturity of Other Investments                 6,556          
Hold-back for equity investment sold           15.00%                
SST | Applied Technology | Other Nonoperating Income (Expense)                            
Equity Investments [Abstract]                            
Equity Method Investment, Realized Gain (Loss) on Disposal $ 5,785               $ 5,785