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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions | Oct. 31, 2020 | Aug. 01, 2020 | Feb. 01, 2020 | Nov. 02, 2019 | Aug. 03, 2019 | Feb. 02, 2019
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Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 1,022.8 |  | $ 997.7 | $ 960.5 |  |
Current liabilities | 258.5 |  | 266.2 | 267.3 |  |
Non-current liabilities | 764.3 |  | 731.5 | 693.2 |  |
ESP deferred revenue |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | 983.2 | $ 990.5 | 960.0 | 919.5 | $ 930.2 | $ 927.6
Voucher promotions and other |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |
Total deferred revenue | $ 39.6 |  | $ 37.7 | $ 41.0 |  |

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