Income taxes - Summary of Income and Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
Income (loss) before income taxes:
– US	$ 665.9	$ (173.4)	$ 32.3
– Foreign	218.5	83.7	97.4
Income (loss) before income taxes	884.4	(89.7)	129.7
Current taxation:
– US	108.1	(222.2)	3.0
– Foreign	7.6	0.7	1.9
Deferred taxation:
– US	8.4	158.4	17.0
– Foreign	(9.6)	(11.4)	2.3
Total income tax expense (benefit)	$ 114.5	$ (74.5)	$ 24.2