Credit Quality Indicator and Age Analysis of Past Due US Customer In-House Finance Receivables (Detail) (USD $) In Millions, unless otherwise specified	Jul. 28, 2012	Jan. 28, 2012	Jul. 30, 2011
Financing Receivable, Allowance for Credit Losses [Line Items]
Gross	$ 1,102.8	$ 1,155.5	$ 969.0
Valuation Allowance	(78.6)	(78.1)	(67.8)
Performing Financing Receivable | Current | Aged 0-30 Days
Financing Receivable, Allowance for Credit Losses [Line Items]
Gross	874.8	932.6	774.3
Valuation Allowance	(27.0)	(28.9)	(23.2)
Performing Financing Receivable | Past Due | Aged 31 - 90 Days
Financing Receivable, Allowance for Credit Losses [Line Items]
Gross	183.1	180.2	154.7
Valuation Allowance	(6.7)	(6.5)	(4.6)
Nonperforming Financing Receivable | Past Due | Aged More Than 90 Days
Financing Receivable, Allowance for Credit Losses [Line Items]
Gross	44.9	42.7	40.0
Valuation Allowance	$ (44.9)	$ (42.7)	$ (40.0)