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Debt - Schedule of Outstanding Debt (Details) - USD ($) $ in Millions				3 Months Ended
	Sep. 18, 2023	Apr. 12, 2021	Dec. 07, 2020	May 04, 2024	Feb. 03, 2024
Debt Instrument [Line Items]
Total borrowings				$ 4,178.0	$ 4,199.9
Less: Unamortized debt discount and issuance cost				(32.1)	(34.0)
Net carrying amount of debt				4,145.9	4,165.9
Non-current portion				$ 4,027.6	$ 4,058.6
Weighted-average interest rate				6.793%	6.83%
Term Loan
Debt Instrument [Line Items]
Total borrowings				$ 678.1	$ 700.0
Less: Current portion				118.3	107.3
Term Loan \| 2026 Term Loan - 5-Year Tranche
Debt Instrument [Line Items]
Total borrowings				$ 678.1	700.0
Debt term (in years)			5 years	5 years
Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 3,499.9	3,499.9
Net carrying amount of debt				2,000.0
Senior Notes \| 4.875% MTG/MTI 2028 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 499.9	499.9
Stated interest rate				4.875%
Senior Notes \| 1.650% 2026 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 500.0	500.0
Stated interest rate		1.65%		1.65%
Debt term (in years)		5 years
Senior Notes \| 2.450% 2028 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 750.0	750.0
Stated interest rate		2.45%		2.45%
Debt term (in years)		7 years
Senior Notes \| 5.750% 2029 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 500.0	500.0
Stated interest rate	5.75%			5.75%
Debt term (in years)	5 years 6 months
Senior Notes \| 2.950% 2031 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 750.0	750.0
Stated interest rate		2.95%		2.95%
Debt term (in years)		10 years
Senior Notes \| 5.950% 2033 Senior Notes
Debt Instrument [Line Items]
Total borrowings				$ 500.0	$ 500.0
Stated interest rate	5.95%			5.95%
Debt term (in years)	10 years