FAIR VALUE MEASUREMENTS (Details) - USD ($) $ in Millions	6 Months Ended
	Jul. 30, 2017	Aug. 05, 2018	Feb. 04, 2018	Jan. 29, 2017
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents	$ 559.4	$ 431.1	$ 493.9	$ 730.1
Short-term borrowings	18.0	85.4	19.5
Long-term debt, carrying amount	3,185.7	2,893.5	3,061.3
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]
Contingent purchase price payments, beginning balance	1.6
Payments	0.0
Adjustments included in earnings	0.1
Contingent purchase price payments, ending balance	1.7
Fair Value, Measurements, Recurring [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Foreign currency forward exchange contracts, assets	4.7	27.5	1.5
Interest rate swap agreements, assets	0.2	2.7	2.4
Foreign currency option contracts, assets	0.1
Total Assets	5.0	30.2	3.9
Foreign currency forward exchange contracts, liabilities	58.2	3.4	67.4
Interest rate swap agreements, liabilities	2.6	0.1	0.1
Contingent purchase price balance related to reacquisition of the perpetual rights to the TOMMY HILFIGER trademarks in India	1.7
Total Liabilities	62.5	3.5	67.5
Reported Value Measurement [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents	559.4	431.1	493.9
Short-term borrowings	18.0	85.4	19.5
Long-term debt, carrying amount	3,185.7	2,893.5	3,061.3
Estimate of Fair Value Measurement [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents, fair value	559.4	431.1	493.9
Short-term borrowings, fair value	18.0	85.4	19.5
Long-term debt, fair value	3,269.6	2,955.4	3,140.9
Fair Value, Inputs, Level 2 [Member] | Fair Value, Measurements, Recurring [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Foreign currency forward exchange contracts, assets	4.7	27.5	1.5
Interest rate swap agreements, assets	0.2	2.7	2.4
Foreign currency option contracts, assets	0.1
Total Assets	5.0	30.2	3.9
Foreign currency forward exchange contracts, liabilities	58.2	3.4	67.4
Interest rate swap agreements, liabilities	2.6	0.1	0.1
Total Liabilities	60.8	$ 3.5	$ 67.5
Fair Value, Inputs, Level 3 [Member] | Fair Value, Measurements, Recurring [Member]
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Contingent purchase price balance related to reacquisition of the perpetual rights to the TOMMY HILFIGER trademarks in India	1.7
Total Liabilities	$ 1.7