Acquisition, Integration and Restructuring Expenses | TS Acquisition, Integration and Restructuring Expenses (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 31, 2018	Oct. 31, 2017	Oct. 31, 2018	Oct. 31, 2017
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	$ 20,277	$ 29,748	$ 66,799	$ 101,931
TS
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	7,153	29,748	35,332	101,931
TS | Restructuring Charges
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	1,618	6,861	16,267	24,188
TS | IT Related Costs [Member]
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	2,120	5,688	10,606	12,044
TS | Professional services
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	807	9,622	5,213	30,691
TS | Transaction Related Costs [Member]
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	268	1,925	1,461	19,154
TS | Other Expense
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	2,340	5,652	1,785	15,854
Americas
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	6,000	14,100	19,000	58,600
Americas | Restructuring Charges
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs		2,000	3,600	12,400
Europe
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	13,100	14,100	44,400	40,400
Europe | Restructuring Charges
Acquisition and integration expenses [Line Items]
Business Combination, Acquisition Related Costs	$ 1,600	$ 4,900	$ 12,700	$ 11,800