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Collaborative and Other Relationships - Equity Method Investments (Details) $ in Millions, ₩ in Billions	1 Months Ended			3 Months Ended				6 Months Ended
	Jun. 30, 2021 USD ($)	Nov. 30, 2018 USD ($)	Nov. 30, 2018 KRW (₩)	Jun. 30, 2021 USD ($)	Jun. 30, 2020 USD ($)	Mar. 31, 2020 USD ($)	Dec. 31, 2019 USD ($)	Jun. 30, 2021 USD ($)	Jun. 30, 2020 USD ($)	Jun. 30, 2021 KRW (₩)	Dec. 31, 2020 USD ($)	Dec. 31, 2020 KRW (₩)	Jan. 31, 2020 USD ($)	Nov. 07, 2018 USD ($)
Schedule of Equity Method Investments [Line Items]
Loss on equity method investment								$ (16.1)	$ 1.6
Income tax (benefit) expense				$ (409.1)	$ 446.1			(364.9)	738.2
Collaboration profit sharing				(15.2)	21.8			53.3	93.5
Total revenue				2,775.0	3,681.6			5,469.0	7,215.9
ADUHELM
Schedule of Equity Method Investments [Line Items]
Total revenue				$ 1.6	$ 0.0			$ 1.6	$ 0.0
Samsung Bioepis
Schedule of Equity Method Investments [Line Items]
Percentage of stake in entity					5.00%				5.00%
Percentage of stake in entity maximum	49.90%			49.90%				49.90%		49.90%
Payments to acquire additional investment in equity method investment		$ 676.6	₩ 759.5				$ 676.6
Amortization of basis differences														$ 675.0
Loss recorded on Samsung Bioepis joint venture				$ 34.3	$ 15.1			$ 16.1	$ 0.4
Investment in Samsung Bioepis	$ 612.8			612.8				612.8		₩ 691.6	$ 620.2	₩ 673.8
Income tax (benefit) expense				31.2				$ 31.2
Biogen share of co-promotion profits or losses								50.00%
Collaboration profit sharing				69.9	55.4			$ 138.4	127.2
Eisai
Schedule of Equity Method Investments [Line Items]
Loss on research and development contracts terminated with Eisai						$ 45.0
Loss on equity method investment				(40.1)	(33.8)
Additional milestone payment					75.0
Eisai \| ADUHELM
Schedule of Equity Method Investments [Line Items]
Loss on equity method investment				(45.0)				(45.0)
Additional milestone payment	100.0			100.0	$ 75.0			100.0	$ 75.0
Samsung Bioepis
Schedule of Equity Method Investments [Line Items]
Upfront and milestone payments made to collaborative partner						100.0
Research and development expense						63.0
Prepaid research and development expenses													$ 37.0
Estimated additional payments upon achievement of development and commercial milestones								195.0
Additional milestone payment				15.0
Contract Option Exercise Fee						$ 60.0
Due to Related Parties	$ 158.7			$ 158.7				$ 158.7			$ 99.0
Inventory \| Samsung Bioepis
Schedule of Equity Method Investments [Line Items]
Equity method investment basis difference amortization period								1 year 6 months
Developed technology \| Samsung Bioepis
Schedule of Equity Method Investments [Line Items]
Equity method investment basis difference amortization period								15 years