Changes in Stockholders' Equity (Reclassifications out of Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Cost of goods sold	$ 2,098.4	$ 1,918.8	$ 6,093.5	$ 4,970.7
Reclassification before tax	236.6	205.1	690.4	370.8
Income tax benefit (provision)	70.1	57.2	121.4	117.9
Other expense, net	14.1	15.3	40.2	37.8
Net income attributable to AGCO Corporation and subsidiaries	181.3	157.3	614.9	291.7
Reclassification out of Accumulated Other Comprehensive Income
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Net income attributable to AGCO Corporation and subsidiaries	(2.4)	2.4	7.7	6.1
Reclassification out of Accumulated Other Comprehensive Income | Derivatives
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Reclassification before tax	(7.0)	(1.2)	(2.0)	(4.4)
Income tax benefit (provision)	2.0	0.2	1.2	0.2
Net income attributable to AGCO Corporation and subsidiaries	(5.0)	(1.0)	(0.8)	(4.2)
Reclassification out of Accumulated Other Comprehensive Income | Amortization of net actuarial losses
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Other expense, net	3.4	3.5	10.8	10.2
Reclassification out of Accumulated Other Comprehensive Income | Amortization of prior service cost
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Other expense, net	0.1	0.5	0.7	1.7
Reclassification out of Accumulated Other Comprehensive Income | Defined benefit plans
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Reclassification before tax	3.5	4.0	11.5	11.9
Income tax benefit (provision)	(0.9)	(0.6)	(3.0)	(1.6)
Net income attributable to AGCO Corporation and subsidiaries	2.6	3.4	8.5	10.3
Foreign currency contracts | Reclassification out of Accumulated Other Comprehensive Income | Derivatives
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Cost of goods sold	1.5	(1.2)	8.4	(4.4)
Commodity contracts | Reclassification out of Accumulated Other Comprehensive Income | Derivatives
Reclassification out of Accumulated Other Comprehensive Income [Line Items]
Cost of goods sold	$ (8.5)	$ 0.0	$ (10.4)	$ 0.0