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Financial Instruments - Summary of Company's Financial Assets and Liabilities (Detail) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2017
Dec. 31, 2018
Jan. 01, 2017
Dec. 31, 2016
Jan. 01, 2016
Dec. 31, 2015
ASSETS            
Cash and cash equivalents $ 1,270.8 $ 1,280.9 $ 1,241.5 $ 1,241.5   $ 2,165.5
Financial investments 5,448.1 4,556.8        
Financial investments 2,617.3 1,926.9 1,948.7      
Guarantee Deposits 393.9 349.7        
Collateralized accounts receivable 288.7 235.9        
Contract assets 447.5 358.0   370.6    
Trade accounts receivable, net 297.0 318.0        
Customer and commercial financing 16.4 11.7        
Derivative financial instruments 34.3 9.5        
Other assets 376.8 309.0        
Assets 11,974.6 11,293.3 1,719.8 11,719.8 $ 11,707.7  
LIABILITIES            
Loans and financing 4,198.5 3,647.6 3,759.9 3,759.9   $ 4,229.9
Trade accounts payable and others liabilities 1,502.5 1,550.5        
Derivative financial instruments 8.9 8.1        
Liabilities 7,797.1 7,353.2 $ 7,783.4      
Level 3 [member]            
ASSETS            
Assets 59.6 59.9   35.0    
LIABILITIES            
Liabilities 108.9 125.4   $ 122.2    
Financial instruments at fair value through profit or loss, category [member]            
ASSETS            
Cash and cash equivalents 1,270.8 1,280.9        
Financial investments   1,926.9        
Financial investments 2,617.3          
Guarantee Deposits 393.9 349.7        
Collateralized accounts receivable 288.7 235.9        
Contract assets 447.5 358.0        
Trade accounts receivable, net 297.0 318.0        
Customer and commercial financing   11.7        
Customer and commercial financing 16.4          
Derivative financial instruments 34.3 9.5        
Other assets 82.2 66.2        
Assets 5,448.1 4,556.8        
LIABILITIES            
Loans and financing   3,647.7        
Loans and financing 4,198.5          
Trade accounts payable and others liabilities 1,502.5 1,550.5        
Financial guarantee and of residual value 139.6 140.4        
Derivative financial instruments 8.9 8.1        
Liabilities 5,849.5 5,346.7        
Financial instruments at fair value through profit or loss, category [member] | Fair value of the other financial instruments [member]            
ASSETS            
Cash and cash equivalents 1,270.8 1,280.9        
Financial investments   48.8        
Financial investments 50.4          
Guarantee Deposits 393.9 349.7        
Collateralized accounts receivable 288.7 235.9        
Contract assets 447.5 358.0        
Trade accounts receivable, net 297.0 318.0        
Customer and commercial financing   11.7        
Customer and commercial financing 16.4          
Other assets 82.2 66.2        
Assets 2,846.9 2,669.2        
LIABILITIES            
Loans and financing   3,647.7        
Loans and financing 4,198.5          
Trade accounts payable and others liabilities 1,502.5 1,550.5        
Financial guarantee and of residual value 30.7 15.0        
Liabilities 5,731.7 5,213.2        
Financial instruments at fair value through profit or loss, category [member] | Fair value [member]            
ASSETS            
Cash and cash equivalents 1,270.8 1,280.9        
Financial investments   1,926.1        
Financial investments 2,617.3          
Guarantee Deposits 393.9 349.7        
Collateralized accounts receivable 288.7 235.9        
Contract assets 447.5 358.0        
Trade accounts receivable, net 297.0 318.0        
Customer and commercial financing   11.7        
Customer and commercial financing 16.4          
Derivative financial instruments 34.3 9.5        
Other assets 82.2 66.2        
Assets 5,448.1 4,556.0        
LIABILITIES            
Loans and financing   3,756.8        
Loans and financing 4,408.6          
Trade accounts payable and others liabilities 1,502.5 1,550.5        
Financial guarantee and of residual value 139.6 140.4        
Derivative financial instruments 8.9 8.1        
Liabilities 6,059.6 5,455.8        
Financial instruments at fair value through profit or loss, category [member] | Fair value of financial instruments measured at fair value through profit or loss [member]            
ASSETS            
Financial investments   1,878.1        
Financial investments 2,566.8          
Derivative financial instruments 34.3 9.5        
Assets 2,601.1 1,887.6        
LIABILITIES            
Financial guarantee and of residual value 108.9 125.4        
Derivative financial instruments 8.9 8.1        
Liabilities 117.8 133.5        
Financial instruments at fair value through profit or loss, category [member] | Fair value of financial instruments measured at fair value through profit or loss [member] | Level 2 [member]            
ASSETS            
Financial investments   1,818.2        
Financial investments 2,507.2          
Derivative financial instruments 34.3 9.5        
Assets 2,541.5 1,827.7        
LIABILITIES            
Derivative financial instruments 8.9 8.1        
Liabilities 8.9 8.1        
Financial instruments at fair value through profit or loss, category [member] | Fair value of financial instruments measured at fair value through profit or loss [member] | Level 3 [member]            
ASSETS            
Financial investments   59.9        
Financial investments 59.6          
Assets 59.6 59.9        
LIABILITIES            
Financial guarantee and of residual value 108.9 125.4        
Liabilities $ 108.9 $ 125.4