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Shareholders' Equity - Additional Information (Detail)
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended
Jun. 20, 2017
USD ($)
$ / shares
shares
May 25, 2016
$ / shares
May 27, 2015
$ / shares
Oct. 31, 2016
Mar. 31, 2018
$ / shares
Dec. 31, 2017
USD ($)
$ / shares
shares
Sep. 30, 2017
$ / shares
Jun. 30, 2017
$ / shares
Mar. 31, 2017
$ / shares
Dec. 31, 2016
USD ($)
$ / shares
shares
Sep. 30, 2016
USD ($)
$ / shares
Jun. 30, 2016
USD ($)
$ / shares
Mar. 31, 2016
$ / shares
Dec. 31, 2015
USD ($)
$ / shares
shares
Sep. 30, 2015
USD ($)
$ / shares
Jun. 30, 2015
USD ($)
$ / shares
Mar. 31, 2015
$ / shares
Dec. 31, 2014
USD ($)
$ / shares
Jun. 30, 2017
USD ($)
Jun. 30, 2016
USD ($)
Jun. 30, 2015
USD ($)
Dec. 31, 2017
USD ($)
$ / shares
shares
Dec. 31, 2016
USD ($)
$ / shares
shares
Dec. 31, 2015
USD ($)
$ / shares
shares
Dec. 31, 2014
USD ($)
$ / shares
Dec. 31, 2013
$ / shares
Dec. 31, 2008
shares
Dec. 31, 2007
Dec. 31, 2017
EUR (€)
€ / shares
shares
Dec. 31, 2016
€ / shares
Jun. 13, 2014
shares
May 20, 2012
May 20, 2011
May 20, 2010
Jan. 22, 2007
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Total Authorized share capital | €                                                         € 1,810,000,000            
Common stock, shares authorized           1,200,000,000       1,200,000,000                       1,200,000,000 1,200,000,000           1,200,000,000            
Preference stock, shares authorized           540,000,000       540,000,000       540,000,000               540,000,000 540,000,000 540,000,000         540,000,000           540,000,000
Common stock, nominal value | € / shares                                                         € 1.04 € 1.04          
Common stock, shares issued           911,110,420       911,110,420                       911,110,420 911,110,420           911,110,420            
Common stock, shares outstanding           896,590,286       883,410,506                       896,590,286 883,410,506           896,590,286            
Shares issued as a percentage of par value of the preference shares to be issued                                                                     25.00%
Preference shares outstanding maximum period                                                       2 years              
Expiration extended period of options after date of grant,in years       10 years                                                              
Preference share issued           0       0                       0 0           0            
Acquisition of shares                                                     29,500,000                
Number of common shares authorized to repurchase 18,600,000                                                           20,000,000        
Stock Repurchase Program, Remaining Authorized Repurchase Amount | $ $ 297,000,000                                                                    
Transfer of treasury shares to employees under the Company's share based remuneration programs           40,198,271                               40,198,271             40,198,271            
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           4,897,965                          
Company owned treasury shares           14,520,134       27,619,914                       14,520,134 27,619,914           14,520,134            
Total intrinsic value of options exercised | $           $ 1,000,000               $ 1,000,000               $ 1,000,000   $ 1,000,000                      
Total intrinsic value of options outstanding | $           4,000,000                               4,000,000                          
Fair value of shares vested | $                                           38,000,000 $ 42,000,000 35,000,000                      
Compensation cost, excluding payroll tax and social contribution, capitalized as part of inventory | $           3,000,000       $ 2,000,000       $ 2,000,000               3,000,000 2,000,000 2,000,000                      
Total unrecognized compensation cost related to the grant of unvested shares | $           $ 102,000,000                               $ 102,000,000                          
Employee service share-based compensation, unvested awards, total compensation cost not yet recognized, period for recognition                                           10 months                          
Deferred income tax benefit relating to unvested share based compensation expense | $                                           $ 3,000,000 $ 2,000,000 $ 2,000,000                      
Dividends, per share | $ / shares $ 0.24 $ 0.24 $ 0.40     $ 0.06 $ 0.06 $ 0.06 $ 0.06 $ 0.06 $ 0.06 $ 0.06 $ 0.10 $ 0.10 $ 0.10 $ 0.10 $ 0.10 $ 0.10                                  
Dividend paid | $                   $ 47,000,000 $ 53,000,000 $ 53,000,000   $ 88,000,000 $ 78,000,000 $ 88,000,000       $ 88,000,000 $ 87,000,000                            
Dividend payable date                 2017-03 2016-12     2016-03 2015-12       2014-12         2016-12 2015-12 2014-12                    
Dividends payable to stockholders | $           $ 60,000,000       $ 59,000,000   $ 9,000,000     $ 9,000,000     $ 87,000,000   $ 9,000,000   60,000,000 $ 59,000,000   $ 87,000,000                    
Maximum [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Total intrinsic value of options exercised | $                   $ 1,000,000                         $ 1,000,000                        
Dividend Distribution First Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                           53,000,000                          
Dividend Distribution Second Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                           53,000,000                          
Dividend Distribution Third Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                           47,000,000                          
Dividend Distribution Remaining Portion of Third Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                     $ 6,000,000     7,000,000                          
Dividend Distribution Remaining Portion of Last Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                           $ 53,000,000                          
Dividend Distribution Fourth Installment [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividend paid | $                                     $ 53,000,000                                
Scenario, Forecast [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Dividends, per share | $ / shares         $ 0.06                                                            
Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           4,897,965                          
Vesting schedule for Supervisory Board                                           One third of the total number of awards granted                          
Vesting period of awards                                           3 years                          
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                             $ 5.36 $ 9.78                      
Supervisory Board 2012 Plan [Member] | Supervisory Board [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Awards are granted at the nominal value of the share | € / shares                                                         € 1.04            
Employee Plan 2009 [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Sub plan for employees of Company's European subsidiaries for statutory payroll tax purposes nonvested shares vested over requisite service period                                                               36.00% 32.00% 32.00%  
Sales Evolution and Operating Income Compared to a Basket of Competitors [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Share based compensation arrangement by share based payment award percentage of weight to total number of awards granted                                             80.00%                        
Days of Sales Outstanding Compared to the Budget and Return on Net Assets Compared to Budget [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Share based compensation arrangement by share based payment award percentage of weight to total number of awards granted                                             20.00%                        
2013 CEO Special Bonus [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           7,095                          
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                                   $ 9.35                  
2014 CEO Special Bonus [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           11,495                          
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                                 $ 9.35                    
Employee Plan 2014 [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                           $ 9.23                          
Employee Plan 2014 [Member] | Performance Conditions [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Number of shares to vest                                           One third of the awards granted will fully vest                          
Employee Plan 2014 [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           1,604,200                          
Employee Plan 2015 [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                             $ 7.62                        
Employee Plan 2015 [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           1,515,261                          
Employee Plan 2017 [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                           $ 16.52                          
Options expected to vest, options (in shares)           3,478,585                               3,478,585             3,478,585            
Options expected to vest, options percentage                                           100.00%                          
Employee Plan 2017 [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           1,950                          
Employee Plan 2016 [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Weighted average grant-date fair value of nonvested shares granted to employees under Employee Plan | $ / shares                                           $ 6.37                          
Employee Plan 2016 [Member] | Performance Conditions [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Percentage of shares to vest                                           45.00%                          
Employee Plan 2016 [Member] | Employees [Member]                                                                      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                                                                      
Transfer of treasury shares to employees under the Company's share based remuneration during the year                                           1,717,119