Acquisitions and Divestitures of and Investments in Businesses and Technologies Business Combinations (Details) - USD ($) $ in Thousands			3 Months Ended		6 Months Ended
	Nov. 13, 2019	Nov. 01, 2019	Jul. 31, 2020	Jan. 31, 2020	Jul. 31, 2020	Jul. 31, 2019
Business Combination, Description [Abstract]
Business Combination, Consideration Transferred					$ 0
Redeemable Noncontrolling Interest Payable, Noncurrent			$ 9,062	$ 5,936	9,062
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			5,025		$ 5,025
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