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Debt - Senior Unsecured Notes (Details) - USD ($) $ in Millions			1 Months Ended
	May 04, 2021	Apr. 12, 2021	Apr. 30, 2021	Oct. 29, 2022	Jan. 29, 2022	Jun. 22, 2018
Debt Instrument [Line Items]
Debt outstanding				$ 4,511.6	$ 4,548.0
Senior Notes
Debt Instrument [Line Items]
Debt outstanding				$ 2,000.0
Redemption price percentage		101.00%	101.00%
Senior Notes | 1.650% 2026 Senior Notes
Debt Instrument [Line Items]
Aggregate principal amount		$ 500.0
Stated interest rate		1.65%		1.65%
Effective interest rate		1.839%
Senior Notes | 2.450% 2028 Senior Notes
Debt Instrument [Line Items]
Aggregate principal amount		$ 750.0
Stated interest rate		2.45%		2.45%
Effective interest rate		2.554%
Senior Notes | 2.950% 2031 Senior Notes
Debt Instrument [Line Items]
Aggregate principal amount		$ 750.0
Stated interest rate		2.95%		2.95%
Effective interest rate		3.043%
Senior Notes | MTG/MTI Senior Notes
Debt Instrument [Line Items]
Debt outstanding				$ 1,000.0
Senior Notes | MTG Senior Notes
Debt Instrument [Line Items]
Debt outstanding			$ 1,000.0
Senior Notes | MTG Senior Notes Due 2023
Debt Instrument [Line Items]
Aggregate principal amount			$ 500.0			$ 500.0
Stated interest rate			4.20%			4.20%
Principal amount exchanged	$ 433.9
Effective interest rate			4.36%
Senior Notes | MTG Senior Notes Due 2028
Debt Instrument [Line Items]
Aggregate principal amount			$ 500.0			$ 500.0
Stated interest rate			4.875%			4.875%
Principal amount exchanged	$ 479.5
Effective interest rate			4.94%
Senior Notes | MTI Senior Notes Due 2023
Debt Instrument [Line Items]
Stated interest rate			4.20%
Effective interest rate			4.502%
Senior Notes | MTI Senior Notes Due 2028
Debt Instrument [Line Items]
Stated interest rate			4.875%
Effective interest rate			4.988%

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