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Share-based compensation - Restricted shares (Detail) | 12 Months Ended |  |
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Dec. 31, 2021 EUR (€) € / shares | Dec. 31, 2021 $ / shares € / shares | Dec. 31, 2021 $ / shares | Dec. 31, 2020 € / shares | Dec. 31, 2020 $ / shares
Share-based compensation [Line Items] |  |  |  |  |  |
Cancellation of treasury shares | € |  | € 1,228,000,000 |  |  |  |
Euro [Member] |  |  |  |  |  |
Share-based compensation [Line Items] |  |  |  |  |  |
Number of other equity instruments outstanding in share-based payment arrangement |  |  |  |  | 1,813,385 | 1,813,385
US Dollar [Member] |  |  |  |  |  |
Share-based compensation [Line Items] |  |  |  |  |  |
Number of other equity instruments outstanding in share-based payment arrangement |  |  |  |  | 1,649,847 | 1,649,847
Restricted shares [Member] | Euro [Member] |  |  |  |  |  |
Share-based compensation [Line Items] |  |  |  |  |  |
Number of other equity instruments outstanding in share-based payment arrangement |  | 1,618,488 | 1,618,488 | 1,618,488 |  |
Weighted average exercise price of other equity instruments outstanding in share-based payment arrangement | € / shares |  | € 39.93 | € 39.93 |  | € 36.2 |
Number of other equity instruments granted in share-based payment arrangement |  | 631,347 |  |  |  |
Weighted average exercise price of other equity instruments granted in share-based payment arrangement | € / shares |  | € 44.41 |  |  |  |
Notional Dividends | [1] | 33,430 |  |  |  |
Weighted Average Exercise Price Notional Dividends | € / shares | [1] | € 39.69 |  |  |  |
Number of other equity instruments exercised or vested in share-based payment arrangement |  | 671,703 |  |  |  |
Weighted average exercise price of other equity instruments exercised or vested in share-based payment arrangement | € / shares |  | € 33.96 |  |  |  |
Number of other equity instruments forfeited in share-based payment arrangement |  | 187,648 |  |  |  |
Weighted average exercise price of other equity instruments forfeited in share-based payment arrangement | € / shares |  | € 40.19 |  |  |  |
Cancellation of treasury shares | € |  | € 323 |  |  |  |
Restricted shares [Member] | Euro [Member] | Weighted average [member] |  |  |  |  |  |
Share-based compensation [Line Items] |  |  |  |  |  |
Cancellation of treasury shares | € |  | € 35.72 |  |  |  |
Restricted shares [Member] | US Dollar [Member] |  |  |  |  |  |
Share-based compensation [Line Items] |  |  |  |  |  |
Number of other equity instruments outstanding in share-based payment arrangement |  | 1,611,021 | 1,611,021 | 1,611,021 |  |
Weighted average exercise price of other equity instruments outstanding in share-based payment arrangement | $ / shares |  |  |  | $ 46.26 |  | $ 41.14
Number of other equity instruments granted in share-based payment arrangement |  | 721,469 |  |  |  |
Weighted average exercise price of other equity instruments granted in share-based payment arrangement | $ / shares |  |  | € 53.42 |  |  |
Notional Dividends | [1] | 30,551 |  |  |  |
Weighted Average Exercise Price Notional Dividends | $ / shares | [1] |  | 44.99 |  |  |
Number of other equity instruments exercised or vested in share-based payment arrangement |  | 584,833 |  |  |  |
Weighted average exercise price of other equity instruments exercised or vested in share-based payment arrangement | $ / shares |  |  | 40.64 |  |  |
Number of other equity instruments forfeited in share-based payment arrangement |  | 206,013 |  |  |  |
Weighted average exercise price of other equity instruments forfeited in share-based payment arrangement | $ / shares |  |  | € 46.09 |  |  |
[1] | Dividend declared in 2021 on outstanding shares.

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