Revenue recognition - ESP (Details) - USD ($) $ in Millions	May 04, 2024	Feb. 03, 2024	Apr. 29, 2023	Jan. 28, 2023
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,239.5	$ 1,244.7	$ 1,243.6
Current liabilities	360.6	362.9	368.7
Non-current liabilities	878.9	881.8	874.9
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,153.7	1,158.7	1,149.4	$ 1,159.5
Other Deferred Revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 85.8	$ 86.0	$ 94.2