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Share-based compensation - Restricted shares (Detail) | 12 Months Ended |  |  |
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Dec. 31, 2022 EUR (€) € / shares | Dec. 31, 2022 € / shares $ / shares | Dec. 31, 2021 EUR (€) € / shares | Dec. 31, 2021 $ / shares € / shares | Dec. 31, 2022 $ / shares | Dec. 31, 2021 $ / shares | Dec. 31, 2020 € / shares | Dec. 31, 2020 $ / shares
Share-based compensation [Line Items] |  |  |  |  |  |  |  |  |
Cancellation of treasury shares | € |  | € 299,000,000 |  |  |  |  |  |  |
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 | 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 |  |  |  | 1,611,021 | 1,611,021 |  | 1,611,021 | 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 |  | 2,321,250 | 2,321,250 | 1,618,488 | 1,618,488 | 2,321,250 | 1,618,488 |  |
Weighted average exercise price of other equity instruments outstanding in share-based payment arrangement | € / shares |  | € 30.73 | € 30.73 | € 39.93 | € 39.93 |  |  | € 36.2 |
Number of other equity instruments granted in share-based payment arrangement |  | 1,349,003 |  | 631,347 |  |  |  |  |
Weighted average exercise price of other equity instruments granted in share-based payment arrangement | € / shares |  | € 22.03 |  | € 44.41 |  |  |  |  |
Notional Dividends | [1] | 81,500 |  | 33,430 |  |  |  |  |
Weighted Average Exercise Price Notional Dividends | € / shares | [1] | € 35.67 |  | € 39.69 |  |  |  |  |
Number of other equity instruments exercised or vested in share-based payment arrangement |  | (540,930) |  | (671,703) |  |  |  |  |
Weighted average exercise price of other equity instruments exercised or vested in share-based payment arrangement | € / shares |  | € 35.82 |  | € 33.96 |  |  |  |  |
Number of other equity instruments forfeited in share-based payment arrangement |  | (186,811) |  | (187,648) |  |  |  |  |
Weighted average exercise price of other equity instruments forfeited in share-based payment arrangement | € / shares |  | € 35.06 |  | € 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 |  | 2,345,263 | 2,345,263 | 1,611,021 | 1,611,021 | 2,345,263 | 1,611,021 |  |
Weighted average exercise price of other equity instruments outstanding in share-based payment arrangement | $ / shares |  |  |  |  |  | $ 33.87 | $ 46.26 |  | $ 41.14
Number of other equity instruments granted in share-based payment arrangement |  | 1,463,855 |  | 721,469 |  |  |  |  |
Weighted average exercise price of other equity instruments granted in share-based payment arrangement | $ / shares |  |  | € 23.6 |  | € 53.42 |  |  |  |
Notional Dividends | [1] | 83,151 |  | 30,551 |  |  |  |  |
Weighted Average Exercise Price Notional Dividends | $ / shares | [1] |  | 39.37 |  | 44.99 |  |  |  |
Number of other equity instruments exercised or vested in share-based payment arrangement |  | (541,336) |  | (584,833) |  |  |  |  |
Weighted average exercise price of other equity instruments exercised or vested in share-based payment arrangement | $ / shares |  |  | 41.48 |  | 40.64 |  |  |  |
Number of other equity instruments forfeited in share-based payment arrangement |  | (271,427) |  | (206,013) |  |  |  |  |
Weighted average exercise price of other equity instruments forfeited in share-based payment arrangement | $ / shares |  |  | € 38.51 |  | € 46.09 |  |  |  |
[1] | Dividend declared in 2022 on outstanding shares.

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