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Share-based compensation - Text Details (Detail)
€ / shares in Units, $ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2020
EUR (€)
€ / shares
Dec. 31, 2020
USD ($)
Dec. 31, 2019
EUR (€)
Dec. 31, 2019
USD ($)
Dec. 31, 2018
EUR (€)
Dec. 31, 2018
USD ($)
Dec. 31, 2020
USD ($)
$ / shares
Share-based compensation [Line Items]              
Share-based compensation costs € 121,000,000   € 105,000,000   € 102,000,000    
Employee stock purchase plan 6,000,000            
Increase (decrease) through share-based payment transactions, equity € 116,000,000   € 101,000,000   € 107,000,000    
Comparison group for performance shares 20 20 20 20 20 20  
Risk free interest rate, share options granted (0.74%) (0.74%)          
Expected volatility, share options granted 25.00% 25.00%          
Aggregate intrinsic value of liabilities from share-pased payments € 9,000,000   € 13,000,000   € 15,000,000    
Euro [Member]              
Share-based compensation [Line Items]              
Weighted average remaining contractual life of outstanding share options 10 months 24 days 10 months 24 days          
Intrinsic value of liabilities from share-based payment transactions for which counterparty's right to cash or other assets vested € 13.1            
Proceeds from exercise of options € 21,000,000            
US Dollar [Member]              
Share-based compensation [Line Items]              
Weighted average remaining contractual life of outstanding share options 10 months 24 days 10 months 24 days          
Intrinsic value of liabilities from share-based payment transactions for which counterparty's right to cash or other assets vested € 11.8            
Top of range [member] | Euro [Member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | € / shares € 22.43            
Performance share plans [Member]              
Share-based compensation [Line Items]              
Unrecognized compensation costs related to non-vested shares € 116,000,000   106,000,000   111,000,000    
Cost recognition period (weighted average) 1.84 1.84          
Restricted shares [Member]              
Share-based compensation [Line Items]              
Unrecognized compensation costs related to non-vested shares € 62,000,000   59,000,000   59,000,000    
Cost recognition period (weighted average) 1.84 1.84          
Cliff-vesting period 3           3
Option plans [Member]              
Share-based compensation [Line Items]              
Intrinsic value of liabilities from share-based payment transactions for which counterparty's right to cash or other assets vested € 13,000,000           $ 12.0
Option plans [Member] | Euro [Member]              
Share-based compensation [Line Items]              
Proceeds from exercise of options     28,000,000   57,000,000    
Tax deductions realized as a result of option exercises € 3,000,000   2,000,000   3,000,000    
Option plans [Member] | US Dollar [Member]              
Share-based compensation [Line Items]              
Aggregate intrinsic value of liabilities from share-pased payments | $   $ 11.0   $ 11.0   $ 16.0  
Option plans [Member] | Bottom of range [member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | € / shares € 14.82            
Option plans [Member] | Bottom of range [member] | US Dollar [Member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | $ / shares             $ 19.50
Option plans [Member] | Top of range [member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | € / shares € 24.9            
Option plans [Member] | Top of range [member] | US Dollar [Member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | $ / shares             33.51
Accelerate options [Member] | Euro [Member]              
Share-based compensation [Line Items]              
Weighted average remaining contractual life of outstanding share options 1 year 4 months 24 days 1 year 4 months 24 days          
Intrinsic value of liabilities from share-based payment transactions for which counterparty's right to cash or other assets vested € 4,300,000            
Aggregate intrinsic value of liabilities from share-pased payments 1,600,000   2,000,000   4,000,000    
Proceeds from exercise of options 1,400,000   2,000,000   4,000,000    
Tax deductions realized as a result of option exercises € 100,000   € 200,000   € 200,000    
Accelerate options [Member] | US Dollar [Member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | $ / shares             $ 20.02
Weighted average remaining contractual life of outstanding share options 1 year 1 month 6 days 1 year 1 month 6 days          
Intrinsic value of liabilities from share-based payment transactions for which counterparty's right to cash or other assets vested | $             $ 1.3
Aggregate intrinsic value of liabilities from share-pased payments | $   $ 0.9   $ 1.0   $ 1.0  
Accelerate options [Member] | Bottom of range [member]              
Share-based compensation [Line Items]              
Exercise price of outstanding share options | € / shares € 15.24