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Revenue recognition - ESP (Details) - USD ($) $ in Millions	Nov. 02, 2024	Aug. 03, 2024	Feb. 03, 2024	Oct. 28, 2023	Jul. 29, 2023	Jan. 28, 2023
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,202.0		$ 1,244.7	$ 1,202.7
Current liabilities	337.7		362.9	346.2
Non-current liabilities	864.3		881.8	856.5
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,132.7	$ 1,146.1	1,158.7	1,120.2	$ 1,138.9	$ 1,159.5
Other Deferred Revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 69.3		$ 86.0	$ 82.5

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