Stockholders' Equity, Stock Repurchase (Details) - USD ($) shares in Millions, $ in Millions		12 Months Ended
	Jan. 31, 2029	Oct. 02, 2026	Oct. 03, 2025	Sep. 27, 2024	Jul. 27, 2026
2026 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Authorized amount for stock repurchase					$ 2,000.0
Treasury stock repurchased (in shares)		1.6
Treasury stock repurchased		$ 107.1
Remaining amount authorized for stock repurchase		$ 1,900.0
2025 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Treasury stock repurchased (in shares)			12.7
Treasury stock repurchased			$ 837.6
2023 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Treasury stock repurchased (in shares)				0.8
Treasury stock repurchased				$ 77.4
Subsequent event | 2026 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Stock repurchase program expiration date	Jan. 31, 2029