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Retirement plans - Narrative (Details) £ in Millions, $ in Millions |  | 3 Months Ended | 12 Months Ended | 18 Months Ended |
--- | --- | --- | --- | --- | ---
Aug. 09, 2021 GBP (£) | Aug. 09, 2021 USD ($) | Apr. 29, 2023 USD ($) | Jan. 28, 2023 USD ($) | Jul. 30, 2022 USD ($) | Apr. 30, 2022 USD ($) | Feb. 03, 2024 GBP (£) | Feb. 03, 2024 USD ($) | Jan. 28, 2023 USD ($) | Jan. 29, 2022 USD ($) | Feb. 04, 2023 GBP (£) | Feb. 04, 2023 USD ($) | Jul. 29, 2021 employee
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred compensation plan assets |  |  |  | $ 22.3 |  |  |  | $ 25.2 | $ 22.3 |  |  |  |
Deferred Compensation Liability, Current and Noncurrent |  |  |  | 33.9 |  |  |  | 38.5 | 33.9 |  |  |  |
Life Insurance |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred compensation plan assets |  |  |  | 5.5 |  |  |  | 5.6 | 5.5 |  |  |  |
Pension plan | UK Defined Contribution Plan |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan, Employer Discretionary Contribution Amount |  |  |  |  |  |  |  | 2.4 | 2.5 | $ 2.4 |  |  |
Pension plan | US 401k Plan |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan, Employer Discretionary Contribution Amount |  |  |  |  |  |  |  | $ 13.6 | 12.6 | 13.0 |  |  |
Employer matching contribution, percent of match |  |  |  |  |  |  | 50.00% | 50.00% |  |  |  |  |
Employer matching contribution, maximum, percent of employees' gross pay |  |  |  |  |  |  | 6.00% | 6.00% |  |  |  |  |
Pension plan | Foreign Plan |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Number of Employees in UK Pension Scheme | employee |  |  |  |  |  |  |  |  |  |  |  |  | 1,909
Employer contributions |  |  |  |  |  |  | £ 1.1 | $ 1.4 | 10.4 |  | £ 16.1 | $ 21.5 |
Actuarial gain | £ 53.3 | $ 72.9 |  |  |  |  |  | 0.0 | (29.5) |  |  |  |
Pension settlement loss |  |  | $ (0.2) | (0.9) | $ (0.9) | $ (131.9) |  | (0.2) | (133.7) | 0.0 |  |  |
Accumulated benefit obligation |  |  |  | $ 1.6 |  |  |  | 0.0 | 1.6 |  |  |  |
Other Pension, Postretirement and Supplemental Plans |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan Disclosure [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Defined Contribution Plan, Employer Discretionary Contribution Amount |  |  |  |  |  |  |  | $ 5.4 | $ 1.7 | $ 2.2 |  |  |

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