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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
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Jul. 29, 2023 | Jul. 30, 2022 | Jul. 29, 2023 | Jul. 30, 2022
Change in Contract with Customer, Liability [Roll Forward] |  |  |  |
ESP deferred revenue, beginning of period |  |  | $ 1,249.6 |
Plans sold |  |  | (24.8) | $ 2.3
ESP deferred revenue, end of period | $ 1,227.3 | $ 1,200.8 | 1,227.3 | 1,200.8
ESP deferred revenue |  |  |  |
Change in Contract with Customer, Liability [Roll Forward] |  |  |  |
ESP deferred revenue, beginning of period | 1,149.4 | 1,125.9 | 1,159.5 | 1,116.5
Plans sold | 109.7 | 120.3 | 223.1 | 244.1
Revenue recognized | (120.2) | (114.7) | (243.7) | (229.1)
ESP deferred revenue, end of period | 1,138.9 | 1,131.5 | 1,138.9 | 1,131.5
Extended Service Plan and Voucher Promotions |  |  |  |
Change in Contract with Customer, Liability [Roll Forward] |  |  |  |
Revenue recognized | $ (75.8) | $ (68.6) | $ (162.5) | $ (147.8)

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