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Goodwill and intangibles - Composition of Finite-Lived Intangibles (Details) - USD ($)
$ in Millions
Aug. 03, 2019
Feb. 02, 2019
Aug. 04, 2018
Intangible assets, net:      
Gross carrying amount $ 53.2 $ 53.3 $ 53.4
Accumulated amortization (50.7) (50.1) (48.6)
Net carrying amount 2.5 3.2 4.8
Intangible assets, gross 529.1 529.2 529.6
Accumulated amortization, net (264.8) (264.2) (188.3)
Total intangible assets, net 264.3 265.0 341.3
Intangible liabilities, net      
Gross carrying amount (113.8) (113.9) (114.0)
Accumulated amortization 95.3 92.5 88.8
Total (18.5) (21.4) (25.2)
Trade names      
Intangible assets, net:      
Indefinite-lived intangible assets, gross 475.9 475.9 476.2
Accumulated amortization (214.1) (214.1) (139.7)
Indefinite-lived intangible assets $ 261.8 $ 261.8 $ 336.5