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Revenue recognition - ESP (Details) - USD ($) $ in Millions	Aug. 03, 2024	May 04, 2024	Feb. 03, 2024	Jul. 29, 2023	Apr. 29, 2023	Jan. 28, 2023
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,221.8		$ 1,244.7	$ 1,227.3
Current liabilities	347.8		362.9	358.3
Non-current liabilities	874.0		881.8	869.0
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,146.1	$ 1,153.7	1,158.7	1,138.9	$ 1,149.4	$ 1,159.5
Other Deferred Revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 75.7		$ 86.0	$ 88.4

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