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Changes in Stockholders' Equity (Schedule of Stockholders' Equity) (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2015
Sep. 30, 2014
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     $ 3,448.5  
Balance at beginning of period     48.4  
Balance at beginning of period     3,496.9  
Stock compensation     10.6  
SSARs exercised     (0.6)  
Comprehensive (loss) income:        
Net income attributable to AGCO Corporation and subsidiaries $ 67.1 $ 65.0 204.3 $ 332.8
Net income (loss) 0.1 (2.5) (1.6) (5.1)
Net income (loss)     202.7  
Other comprehensive loss, net of reclassification adjustments:        
Foreign currency translation adjustments (2.6) 0.0 (1.8) (0.3)
Foreign currency translation adjustments     (517.5)  
Defined benefit pension plans, net of tax 2.3 1.9 6.7 5.6
Unrealized loss on derivatives, net of tax (0.2) $ (1.0) (1.7) $ (1.1)
Payments of dividends to stockholders     (31.7)  
Repurchase and retirement of shares     (187.5)  
Changes in noncontrolling interest     1.1  
Balance at end of period 2,927.4   2,927.4  
Balance at end of period 46.1   46.1  
Balance at end of period 2,973.5   2,973.5  
Common Stock [Member]        
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     0.9  
Other comprehensive loss, net of reclassification adjustments:        
Balance at end of period 0.9   0.9  
Additional Paid-in Capital [Member]        
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     582.5  
Stock compensation     10.6  
SSARs exercised     (0.6)  
Other comprehensive loss, net of reclassification adjustments:        
Repurchase and retirement of shares     (187.5)  
Balance at end of period 399.5   399.5  
Retained Earnings [Member]        
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     3,771.6  
Comprehensive (loss) income:        
Net income attributable to AGCO Corporation and subsidiaries     204.3  
Other comprehensive loss, net of reclassification adjustments:        
Payments of dividends to stockholders     (31.7)  
Balance at end of period 3,944.2   3,944.2  
Accumulated Other Comprehensive Loss [Member]        
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     (906.5)  
Other comprehensive loss, net of reclassification adjustments:        
Foreign currency translation adjustments     (515.7)  
Defined benefit pension plans, net of tax     6.7  
Unrealized loss on derivatives, net of tax     (1.7)  
Balance at end of period (1,417.2)   (1,417.2)  
Noncontrolling Interests [Member]        
Schedule of Stockholders' Equity [Line Items]        
Balance at beginning of period     48.4  
Comprehensive (loss) income:        
Net income (loss)     (1.6)  
Other comprehensive loss, net of reclassification adjustments:        
Foreign currency translation adjustments     (1.8)  
Changes in noncontrolling interest     1.1  
Balance at end of period $ 46.1   46.1  
Performance Shares [Member]        
Schedule of Stockholders' Equity [Line Items]        
SSARs exercised     (5.5)  
Performance Shares [Member] | Additional Paid-in Capital [Member]        
Schedule of Stockholders' Equity [Line Items]        
SSARs exercised     $ (5.5)