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Stockholders' Equity, Stock Repurchase (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions		3 Months Ended	6 Months Ended
	Feb. 01, 2025	Mar. 31, 2023	Mar. 31, 2023	Mar. 29, 2024	Jan. 31, 2023
2023 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Authorized amount for stock repurchase					$ 2,000.0
Remaining amount authorized for stock repurchase				$ 2,000.0
2021 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Treasury stock repurchased		$ 9.1	$ 175.3
Treasury stock repurchased (in shares)		0.1	1.9
Average price of treasury stock repurchased (in dollars per share)		$ (91.08)	$ (90.60)
Subsequent event \| 2023 stock repurchase program
Equity, Class of Treasury Stock [Line Items]
Stock repurchase program expiration date	Feb. 01, 2025