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Income taxes - Schedule of Income and Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Income (loss) before income taxes:
– US	$ 281.2	$ 665.9	$ (173.4)
– Foreign	170.0	218.5	83.7
Income (loss) before income taxes	451.2	884.4	(89.7)
Current taxation:
– US	157.1	108.1	(222.2)
– Foreign	16.7	7.6	0.7
Deferred taxation:
– US	(70.4)	8.4	158.4
– Foreign	(28.9)	(9.6)	(11.4)
Total income tax expense (benefit)	$ 74.5	$ 114.5	$ (74.5)

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