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Share-based compensation (Tables) | 12 Months Ended
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Dec. 31, 2021
Disclosure Of Share Based Payments [Abstract] |
Schedule of Activities in RSUs, RSAs and Other Contingently Issuable Shares Outstanding and Related Information | Activity in the Group's RSUs, RSAs, and other contingently issuable shares outstanding and related information is as follows:
| RSUs |  | RSAs |  | Other
| Number of RSUs |  | Weighted average grant date fair value |  | Number of Awards |  | Weighted average grant date fair value |  | Number of Awards |  | Weighted average grant date fair value
|  |  | US$ |  |  |  | US$ |  |  |  | US$
Outstanding at January 1, 2019 | 100,383 |  |  | 63.87 |  |  | 61,880 |  |  | 90.65 |  |  | — |  |  | — |
Granted | 715,224 |  |  | 137.15 |  |  | — |  |  | — |  |  | 162,320 |  |  | 145.21 |
Forfeited | (48,754) |  |  | 118.96 |  |  | — |  |  | — |  |  | — |  |  | — |
Released | (128,503) |  |  | 98.52 |  |  | (20,600) |  |  | 90.65 |  |  | — |  |  | — |
Outstanding at December 31, 2019 | 638,350 |  |  | 134.79 |  |  | 41,280 |  |  | 90.65 |  |  | 162,320 |  |  | 145.21 |
Granted | 1,127,149 |  |  | 161.50 |  |  | — |  |  | — |  |  | 34,450 |  |  | 145.14 |
Forfeited | (91,613) |  |  | 143.13 |  |  | — |  |  | — |  |  | — |  |  | — |
Released | (353,693) |  |  | 138.66 |  |  | (41,280) |  |  | 90.65 |  |  | (40,580) |  |  | 145.21 |
Outstanding at December 31, 2020 | 1,320,193 |  |  | 155.98 |  |  | — |  |  | — |  |  | 156,190 |  |  | 145.19 |
Granted | 793,337 |  |  | 277.21 |  |  | — |  |  | — |  |  | 22,988 |  |  | 261.00 |
Forfeited | (175,751) |  |  | 190.26 |  |  | — |  |  | — |  |  | — |  |  | — |
Released | (512,583) |  |  | 178.19 |  |  | — |  |  | — |  |  | (70,458) |  |  | 182.98 |
Outstanding at December 31, 2021 | 1,425,196 |  |  | 211.25 |  |  | — |  |  | — |  |  | 108,720 |  |  | 145.19 |
Schedule of Activity in Stock Options Outstanding and Related Information | Activity in the stock options outstanding and related information is as follows:
| Options
| Number of options |  | Weighted average exercise price
|  |  | US$
Outstanding at January 1, 2019 | 12,243,526 |  |  | 77.63 |
Granted | 4,152,565 |  |  | 147.11 |
Forfeited | (719,860) |  |  | 105.01 |
Exercised | (3,478,660) |  |  | 49.41 |
Expired | (43,799) |  |  | 117.79 |
Outstanding at December 31, 2019 | 12,153,772 |  |  | 107.68 |
Granted | 2,356,040 |  |  | 180.12 |
Forfeited | (855,051) |  |  | 131.30 |
Exercised | (4,556,908) |  |  | 78.87 |
Expired | (56,565) |  |  | 146.69 |
Outstanding at December 31, 2020 | 9,041,288 |  |  | 138.60 |
Granted | 2,164,070 |  |  | 315.86 |
Forfeited | (414,317) |  |  | 191.43 |
Exercised | (2,074,572) |  |  | 96.12 |
Expired | (21,121) |  |  | 196.25 |
Outstanding at December 31, 2021 | 8,695,348 |  |  | 190.19 |
Exercisable at December 31, 2019 | 5,553,650 |  |  | 84.18 |
Exercisable at December 31, 2020 | 4,022,751 |  |  | 113.91 |
Exercisable at December 31, 2021 | 4,453,983 |  |  | 152.64 |
Summary of Stock Options Outstanding | The stock options outstanding at December 31, 2021, 2020, and 2019 are comprised of the following:
|  |  |  |  |  | 2021 |  | 2020 |  | 2019
Range of exercise prices (US$) | Number of options |  | Weighted average remaining contractual life (years) |  | Number of options |  | Weighted average remaining contractual life (years) |  | Number of options |  | Weighted average remaining contractual life (years)
1.65 |  | to |  | 45.00 |  | 3,533 |  |  | 1.8 |  | 195,207 |  |  | 0.3 |  | 2,130,161 |  |  | 0.9
45.01 |  | to |  | 90.00 |  | 415,340 |  |  | 0.2 |  | 1,243,833 |  |  | 1.2 |  | 2,482,270 |  |  | 2.2
90.01 |  | to |  | 135.00 |  | 1,659,359 |  |  | 1.8 |  | 2,234,257 |  |  | 2.7 |  | 2,946,838 |  |  | 3.4
135.01 |  | to |  | 180.00 |  | 3,076,253 |  |  | 2.5 |  | 3,671,417 |  |  | 3.5 |  | 3,318,423 |  |  | 4.1
180.01 |  | to |  | 498.98 |  | 3,540,863 |  |  | 3.7 |  | 1,696,574 |  |  | 3.6 |  | 1,276,080 |  |  | 3.7
|  |  |  |  |  | 8,695,348 |  |  | 2.7 |  | 9,041,288 |  |  | 2.9 |  | 12,153,772 |  |  | 2.9
Summary of Black-Scholes Option-Pricing Models | The following table lists the inputs to the Black-Scholes option-pricing models used for stock options for the years ended December 31, 2021, 2020, and 2019:
| 2021 |  | 2020 |  | 2019
Expected volatility (%) | 34.1 – 43.1 |  | 30.0 – 42.8 |  | 30.1 – 35.2
Risk-free interest rate (%) | 0.2 – 1.1 |  | 0.1 – 1.7 |  | 1.4 – 2.6
Expected life of stock options (years) | 2.6 – 4.8 |  | 2.6 – 4.8 |  | 2.5 – 4.8
Weighted-average share price (US$) | 283.15 |  |  | 162.82 |  |  | 136.09 |
Summary of Impact of Changes on Stock Options Expense for Options Granted | The following table shows the impact of these changes on stock option expense for the options granted in 2021:
| 2021
| (in € millions)
Actual stock option expense | 56 |
Stock option expense increase/(decrease) under the following assumption changes |
Volatility decreased by 10% | (13) |
Volatility increase by 10% | 16 |
Expected life decrease by 1 year | (8) |
Expected life increase by 1 year | 9 |
Summary of Expense Recognized in Consolidated Statement of Operations for Employee Share Based Payments | The expense recognized in the consolidated statement of operations for share-based compensation is as follows:
| 2021 |  | 2020 |  | 2019
| (in € millions)
Cost of revenue | 9 |  |  | 8 |  |  | 4 |
Research and development | 119 |  |  | 84 |  |  | 61 |
Sales and marketing | 41 |  |  | 34 |  |  | 27 |
General and administrative | 54 |  |  | 50 |  |  | 30 |
Total | 223 |  |  | 176 |  |  | 122 |

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