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Acquisition, Integration and Restructuring Expenses \| Global Business Optimization Restructuring Activity (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Jan. 31, 2020	Oct. 31, 2019	Jul. 31, 2019	Apr. 30, 2019	Jan. 31, 2019	Oct. 31, 2018	Jul. 31, 2018	Apr. 30, 2018	Jan. 31, 2020	Jan. 31, 2019	Jan. 31, 2018
Restructuring Cost and Reserve [Line Items]
Business Combination, Acquisition Related Costs	$ 10,000	$ 4,600	$ 5,200	$ 6,200	$ 21,100	$ 20,300	$ 13,300	$ 33,200	$ 26,030	$ 87,920	$ 136,272
Global Business Optimization Program [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Charges									17,371	42,541
Employee Severance [Member] \| Global Business Optimization Program [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Charges									11,967	26,427
Payments for Restructuring									(17,717)	(11,095)
Restructuring Reserve, Translation and Other Adjustment									(330)	(534)
Restructuring Reserve	8,718				14,798				8,718	14,798
Professional Services [Member] \| Global Business Optimization Program [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Charges									5,404	16,114
Payments for Restructuring									(5,997)	(15,357)
Restructuring Reserve, Translation and Other Adjustment									(21)	(126)
Restructuring Reserve	17				631				17	631
Restructuring Charges [Member] \| Global Business Optimization Program [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Charges									17,371	42,541
Payments for Restructuring									(23,714)	(26,452)
Restructuring Reserve, Translation and Other Adjustment									(351)	(660)
Restructuring Reserve	$ 8,735				$ 15,429				$ 8,735	$ 15,429