Summary of Significant Accounting Policies (Details) $ in Thousands	3 Months Ended	6 Months Ended	12 Months Ended
	Jul. 31, 2020 USD ($)	Jul. 31, 2020 USD ($)	Jan. 31, 2021 USD ($) ReportingUnits	Jan. 31, 2020 USD ($) ReportingUnits	Jan. 31, 2019 USD ($) ReportingUnits	Jan. 31, 2018
Basis of Presentation and Principles of Consolidation
Number of reportable segments | ReportingUnits			3	3	3
Noncontrolling Interest
Redeemable Noncontrolling Interest, Equity, Common, Carrying Amount			$ 0	$ 21,302
Payments for Repurchase of Redeemable Noncontrolling Interest			17,853	0	$ 0
Related Party Transactions [Abstract]
Related Party Transaction, Amounts of Transaction		$ 1,954		3,176
Due to Affiliate, Current			0	409
Cash and Cash Equivalents [Abstract]
Cash and cash equivalents, on deposit in the United States			30,721	14,003
Cash held outside the United States			2,217	6,704
Equity Investments [Abstract]
Equity Method Investment, Realized Gain (Loss) on Disposal			0	0	$ 5,785
Accounts Receivable, Net, Current [Abstract]
Unbilled Receivables, Current			$ 2,734	$ 6,954
Dot Technology Corp. [Member]
Noncontrolling Interest
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners				36.00%
Redeemable Noncontrolling Interest, Equity, Common, Carrying Amount				$ 21,302
Payments for Repurchase of Redeemable Noncontrolling Interest	$ 17,853
Aerostar Integrated Systems [Member]
Noncontrolling Interest
Joint venture, ownership percentage					75.00%
Business Acquisition, Percentage of Voting Interests Acquired				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%
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%
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