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Debt - Summary of Borrowings and Outstanding Debt (Details) - USD ($) $ in Millions	Apr. 30, 2022	Jan. 29, 2022	Apr. 12, 2021
Debt Instrument [Line Items]
Total borrowings	$ 4,577.1	$ 4,588.0
Less: Unamortized debt discount and issuance cost	(37.7)	(40.0)
Net carrying amount of debt	4,539.4	4,548.0
Non-current portion	4,465.3	4,484.8
Term Loan
Debt Instrument [Line Items]
Total borrowings	1,577.2	1,588.1
Less: Current portion	74.1	63.2
Term Loan \| 2020 Term Loan - 3 Year Tranche
Debt Instrument [Line Items]
Total borrowings	735.0	735.0
Term Loan \| 2020 Term Loan - 5 Year Tranche
Debt Instrument [Line Items]
Total borrowings	842.2	853.1
Senior Notes
Debt Instrument [Line Items]
Total borrowings	2,999.9	2,999.9
Net carrying amount of debt	2,000.0
Senior Notes \| 4.200% MTG/MTI 2023 Senior Notes
Debt Instrument [Line Items]
Total borrowings	$ 500.0	500.0
Stated interest rate	4.20%
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%
Senior Notes \| 2.450% 2028 Senior Notes
Debt Instrument [Line Items]
Total borrowings	$ 750.0	750.0
Stated interest rate	2.45%		2.45%
Senior Notes \| 2.950% 2031 Senior Notes
Debt Instrument [Line Items]
Total borrowings	$ 750.0	$ 750.0
Stated interest rate	2.95%		2.95%