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Leases - Rent Expense and Other Cost Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2020
Nov. 02, 2019
Oct. 31, 2020
Nov. 02, 2019
Feb. 01, 2020
Leases [Abstract]          
Operating lease cost $ 73.4 $ 86.6 $ 233.7 $ 257.8  
Variable lease cost 20.2 23.1 60.3 72.2  
Total rent expense $ 93.6 $ 109.7 $ 294.0 $ 330.0  
Weighted-average remaining lease term (years) 4 years 6 months 4 years 6 months 4 years 6 months 4 years 6 months 4 years 8 months 12 days
Weighted-average discount rate 5.10% 4.40% 5.10% 4.40% 4.10%