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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions | Jul. 29, 2023 | Apr. 29, 2023 | Jan. 28, 2023 | Jul. 30, 2022 | Apr. 30, 2022 | Jan. 29, 2022
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Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 1,227.3 |  | $ 1,249.6 | $ 1,200.8 |  |
Current liabilities | 358.3 |  | 369.5 | 326.9 |  |
Non-current liabilities | 869.0 |  | 880.1 | 873.9 |  |
ESP deferred revenue |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | 1,138.9 | $ 1,149.4 | 1,159.5 | 1,131.5 | $ 1,125.9 | $ 1,116.5
Other deferred revenue |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 88.4 |  | $ 90.1 | $ 69.3 |  |

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