Accumulated Other Comprehensive Income (Loss) - Reclassifications out of AOCI (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 30, 2022	May 01, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]
Cost of sales	$ (1,114.6)	$ (1,010.4)
Other non-operating income (expense)	(2.6)	0.1
Income taxes	55.2	(26.5)
Net income (loss)	(83.5)	138.4
Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net income (loss)	107.7	0.4
Losses (gains) on cash flow hedges | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total before income tax	0.0	0.2
Income taxes	0.0	0.0
Net income (loss)	0.0	0.2
Losses (gains) on cash flow hedges | Reclassification out of Accumulated Other Comprehensive Income | Foreign currency contracts
Accumulated Other Comprehensive Income (Loss) [Line Items]
Cost of sales	0.0	0.1
Losses (gains) on cash flow hedges | Reclassification out of Accumulated Other Comprehensive Income | Commodity contracts
Accumulated Other Comprehensive Income (Loss) [Line Items]
Cost of sales	0.0	0.1
Defined benefit pension plan items | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total before income tax	132.9	0.2
Income taxes	(25.2)	0.0
Net income (loss)	107.7	0.2
Actuarial losses | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other non-operating income (expense)	0.9	0.2
Prior service costs | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other non-operating income (expense)	0.1	0.0
Pension settlement loss | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other non-operating income (expense)	$ 131.9	$ 0.0