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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions | Oct. 30, 2021 | Jul. 31, 2021 | Jan. 30, 2021 | Oct. 31, 2020 | Aug. 01, 2020 | Feb. 01, 2020
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Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 1,120.2 |  | $ 1,072.0 | $ 1,022.8 |  |
Current liabilities | 307.0 |  | 288.7 | 258.5 |  |
Non-current liabilities | 813.2 |  | 783.3 | 764.3 |  |
ESP deferred revenue |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | 1,066.3 | $ 1,063.8 | 1,028.9 | 983.2 | $ 990.5 | $ 960.0
Customer and eCommerce Orders |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 53.9 |  | $ 43.1 | $ 39.6 |  |

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