Stock-Based Compensation Plans - Stock-based Compensation Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Feb. 03, 2024	Jan. 28, 2023	Jan. 29, 2022
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Total stock-based compensation expense	$ 96.7	$ 110.4	$ 79.9
Excess tax benefit on stock-based compensation recognized in the provision for income taxes	3.9	9.8	8.5
Cost of sales
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Total stock-based compensation expense	22.4	19.7	18.3
Selling, general and administrative expenses
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Total stock-based compensation expense	$ 74.3	$ 90.7	$ 61.6