Accounts Receivable, Net - Credit Quality Indicator and Age Analysis (Details) - USD ($) $ in Millions	Feb. 03, 2018	Jan. 28, 2017	Jan. 30, 2016
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross	$ 762.9	$ 1,952.0	$ 1,855.9
Valuation allowance	$ (113.5)	$ (138.7)	$ (130.0)
Valuation allowance	14.90%	7.10%	7.00%
0 - 120 days past due | Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross	$ 703.4
Valuation allowance	(54.0)
121 or more days past due | Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross	59.5
Valuation allowance	$ (59.5)
Current, aged 0 – 30 days | Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross		$ 1,538.2	$ 1,473.0
Valuation allowance		(47.2)	(45.4)
Past due, aged 31 – 60 days | Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross		282.0	259.6
Valuation allowance		(9.0)	(8.3)
Past due, aged 61 – 90 days | Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross		51.6	49.2
Valuation allowance		(2.3)	(2.2)
Past due, aged more than 90 days | Non Performing
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross		80.2	74.1
Valuation allowance		$ (80.2)	$ (74.1)