Retirement plans - Narrative (Details) £ in Millions, $ in Millions	3 Months Ended				12 Months Ended			18 Months Ended
	Apr. 29, 2023 USD ($)	Jan. 28, 2023 USD ($)	Jul. 30, 2022 USD ($)	Apr. 30, 2022 USD ($)	Feb. 01, 2025 USD ($)	Feb. 03, 2024 USD ($)	Jan. 28, 2023 USD ($)	Feb. 04, 2023 USD ($)	Feb. 04, 2023 GBP (£)
Defined Contribution Plan Disclosure [Line Items]
Deferred compensation plan assets					$ 31.0	$ 25.2
Deferred Compensation Liability, Current and Noncurrent					42.1	38.5
Life Insurance
Defined Contribution Plan Disclosure [Line Items]
Deferred compensation plan assets					4.4	5.6
Pension plan | UK Defined Contribution Plan
Defined Contribution Plan Disclosure [Line Items]
Defined Contribution Plan, Employer Discretionary Contribution Amount					2.1	2.4	$ 2.5
Pension plan | US 401k Plan
Defined Contribution Plan Disclosure [Line Items]
Defined Contribution Plan, Employer Discretionary Contribution Amount					$ 12.9	13.6	12.6
Employer matching contribution, percent of match					50.00%
Employer matching contribution, maximum, percent of employees' gross pay					6.00%
Pension plan | Foreign Plan
Defined Contribution Plan Disclosure [Line Items]
Pension settlement loss	$ (0.2)	$ (0.9)	$ (0.9)	$ (131.9)		(0.2)	(133.7)
Defined Benefit Plan, Plan Assets, Contributions by Employer								$ 21.5	£ 16.1
Other Pension, Postretirement and Supplemental Plans
Defined Contribution Plan Disclosure [Line Items]
Defined Contribution Plan, Employer Discretionary Contribution Amount					$ 7.3	$ 5.4	$ 1.7