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Summary of Significant Accounting Policies (Details)
3 Months Ended 12 Months Ended
Apr. 30, 2016
ReportingUnits
Jan. 31, 2017
USD ($)
Jan. 31, 2017
USD ($)
Divisions
Jan. 31, 2017
USD ($)
Jan. 31, 2017
USD ($)
ReportingUnits
Jan. 31, 2016
USD ($)
ReportingUnits
Jan. 31, 2015
USD ($)
ReportingUnits
Basis of Presentation and Principles of Consolidation              
Number of divisions operated in by Parent 3   3   3 4 4
Noncontrolling Interest              
Payments to Noncontrolling Interests       $ 0   $ 0 $ 0
Equity Investments [Abstract]              
Percentage of voting interest acquired   22.00% 22.00% 22.00% 22.00%    
Pre-Contract Costs [Abstract]              
Pre-contract costs deferred to inventory   $ 0 $ 0 $ 0 $ 0 0 0
Property, Plant and Equipment [Abstract]              
Capitalized software costs       $ 0   $ 0 $ 0
Minimum [Member]              
Intangible Assets              
Finite-lived intangible assets, useful life, minimum, years   3 years          
Maximum [Member]              
Intangible Assets              
Finite-lived intangible assets, useful life, minimum, years   20 years          
Building and Improvements [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   15 years          
Building and Improvements [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   39 years          
Machinery and Equipment [Member] | Applied Technology [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   3 years          
Machinery and Equipment [Member] | Applied Technology [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   5 years          
Machinery and Equipment [Member] | Engineered Films [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   5 years          
Machinery and Equipment [Member] | Engineered Films [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   12 years          
Machinery and Equipment [Member] | Aerostar [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   3 years          
Machinery and Equipment [Member] | Aerostar [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   5 years          
Furniture, Fixtures, Office Equipment and Other [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   3 years          
Furniture, Fixtures, Office Equipment and Other [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   7 years          
Software Development [Member] | All Segments [Member] | Minimum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   3 years          
Software Development [Member] | All Segments [Member] | Maximum [Member]              
Property, Plant and Equipment [Abstract]              
Property, plant and equipment useful lives   5 years          
Aerostar Integrated Systems [Member]              
Noncontrolling Interest              
Joint venture, ownership percentage   75.00% 75.00% 75.00% 75.00%    
AgEagle Aerial Systems [Member] | Applied Technology [Member]              
Equity Investments [Abstract]              
Variable Interest Entity, acquisition date equity method investment   Feb. 29, 2016          
Percentage of voting interest acquired   5.00% 5.00% 5.00% 5.00%    
Variable Interest Entity, name of investee equity method investment   Ag-Eagle Aerial Systems, Inc.          
SST [Member] | Applied Technology [Member]              
Equity Investments [Abstract]              
Percentage of voting interest acquired   22.00% 22.00% 22.00% 22.00%    
Variable Interest Entity, name of investee equity method investment   Site-Specific Technology Development Group, Inc.