Reclassification out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Other (income) expense	$ 56.0	$ (502.9)	$ 221.3	$ (913.4)
Income Tax Expense (Benefit)	236.2	(25.9)	578.5	(390.7)
Product revenues	2,508.5	2,778.9	7,629.4	8,247.9
Net income attributable to Biogen Inc.	$ 1,134.7	329.2	$ 2,496.5	1,187.9
Samsung Bioepis
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Equity, ownership interest	49.90%		49.90%
Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Net income attributable to Biogen Inc.	$ 62.8	(14.0)	$ 97.3	(63.0)
Unrealized gains (losses) on securities available for sale | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Other (income) expense	(8.0)	(0.4)	(9.4)	(1.3)
Income Tax Expense (Benefit)	1.7	0.1	2.0	0.3
Unrealized gains (losses) on cash flow hedges | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Other (income) expense	0.0	0.0	(0.2)	0.1
Income Tax Expense (Benefit)	(7.8)	1.5	(14.0)	6.8
Product revenues	77.7	(14.9)	143.2	(68.7)
Operating Expenses	(0.8)	(0.3)	(3.5)	(0.3)
Gains (losses) on net investment hedge | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Other (income) expense	0.0	0.0	38.1	0.1
Currency Translation Adjustments | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]
Other (income) expense	$ 0.0	$ 0.0	$ (58.9)	$ 0.0