Credit transaction, net (Details) - USD ($) $ in Millions	1 Months Ended				3 Months Ended	12 Months Ended
	Jun. 30, 2018	May 31, 2018	Oct. 31, 2017	Oct. 28, 2017	Aug. 04, 2018	Feb. 01, 2020	Feb. 02, 2019	Feb. 03, 2018
Financing Receivable, Allowance for Credit Loss [Line Items]
Reversal of allowance on receivables sold						$ 0.0	$ 160.4	$ (30.9)
Repayments of secured debt						$ 0.0	0.0	(2,345.9)
Initial credit term (years)						7 years
Credit renewal term (years)						2 years
Percentage of eligible receivables purchased		30.00%
Sale of receivables, percentage of par	72.00%
Sale of receivables, percentage settled in cash	95.00%
Sale of receivables. percentage deferred until second anniversary	5.00%				5.00%
Proceeds from sale of in-house finance receivables	$ 445.5					$ 0.0	445.5	952.5
Consumer Portfolio Segment
Financing Receivable, Allowance for Credit Loss [Line Items]
Reversal of allowance on receivables sold							107.6	20.7
Sterling Jewelers, Inc. | Consumer Portfolio Segment
Financing Receivable, Allowance for Credit Loss [Line Items]
Net proceeds				$ 952.5
Beneficial interest asset				$ 10.2
Securitization Facility
Financing Receivable, Allowance for Credit Loss [Line Items]
Transaction costs								29.6
Repayments of secured debt			$ (600.0)
Genesis Financial Solution
Financing Receivable, Allowance for Credit Loss [Line Items]
Servicing agreement, term (years)			5 years
Sterling Jewelers | Consumer Portfolio Segment
Financing Receivable, Allowance for Credit Loss [Line Items]
Loss on sale of accounts receivable							160.4
Other
Financing Receivable, Allowance for Credit Loss [Line Items]
Transaction costs							7.0
Other | Consumer Portfolio Segment
Financing Receivable, Allowance for Credit Loss [Line Items]
Transaction costs							$ 7.0	$ 29.6