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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
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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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