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Accrued expenses and other current liabilities - Summary of Activity in Warranty Reserve (Details) - USD ($)
$ in Millions
12 Months Ended
Feb. 01, 2020
Feb. 02, 2019
Feb. 03, 2018
Movement in Standard Product Warranty Accrual [Roll Forward]      
Balance at beginning of period $ 33.2 $ 37.2 $ 40.0
Warranty expense 13.5 8.0 8.5
Utilized (10.4) (12.0) (11.3)
Balance at end of period $ 36.3 $ 33.2 $ 37.2