BigQuery – Rank

RANK()
OVER over_clause

over_clause:
  { named_window | ( [ window_specification ] ) }

window_specification:
  [ named_window ]
  [ PARTITION BY partition_expression [, ...] ]
  ORDER BY expression [ { ASC | DESC }  ] [, ...]

Example1

WITH Numbers AS
 (SELECT 1 as x
  UNION ALL SELECT 2
  UNION ALL SELECT 2
  UNION ALL SELECT 5
  UNION ALL SELECT 8
  UNION ALL SELECT 10
  UNION ALL SELECT 10
)
SELECT x,
  RANK() OVER (ORDER BY x ASC) AS rank
FROM Numbers
+-------------------------+
| x          | rank       |
+-------------------------+
| 1          | 1          |
| 2          | 2          |
| 2          | 2          |
| 5          | 4          |
| 8          | 5          |
| 10         | 6          |
| 10         | 6          |
+-------------------------+

Example2

WITH finishers AS
 (SELECT 'Sophia Liu' as name,
  TIMESTAMP '2016-10-18 2:51:45' as finish_time,
  'F30-34' as division
  UNION ALL SELECT 'Lisa Stelzner', TIMESTAMP '2016-10-18 2:54:11', 'F35-39'
  UNION ALL SELECT 'Nikki Leith', TIMESTAMP '2016-10-18 2:59:01', 'F30-34'
  UNION ALL SELECT 'Lauren Matthews', TIMESTAMP '2016-10-18 3:01:17', 'F35-39'
  UNION ALL SELECT 'Desiree Berry', TIMESTAMP '2016-10-18 3:05:42', 'F35-39'
  UNION ALL SELECT 'Suzy Slane', TIMESTAMP '2016-10-18 3:06:24', 'F35-39'
  UNION ALL SELECT 'Jen Edwards', TIMESTAMP '2016-10-18 3:06:36', 'F30-34'
  UNION ALL SELECT 'Meghan Lederer', TIMESTAMP '2016-10-18 2:59:01', 'F30-34')
SELECT name,
  finish_time,
  division,
  RANK() OVER (PARTITION BY division ORDER BY finish_time ASC) AS finish_rank
FROM finishers;
+-----------------+------------------------+----------+-------------+
| name            | finish_time            | division | finish_rank |
+-----------------+------------------------+----------+-------------+
| Sophia Liu      | 2016-10-18 09:51:45+00 | F30-34   | 1           |
| Meghan Lederer  | 2016-10-18 09:59:01+00 | F30-34   | 2           |
| Nikki Leith     | 2016-10-18 09:59:01+00 | F30-34   | 2           |
| Jen Edwards     | 2016-10-18 10:06:36+00 | F30-34   | 4           |
| Lisa Stelzner   | 2016-10-18 09:54:11+00 | F35-39   | 1           |
| Lauren Matthews | 2016-10-18 10:01:17+00 | F35-39   | 2           |
| Desiree Berry   | 2016-10-18 10:05:42+00 | F35-39   | 3           |
| Suzy Slane      | 2016-10-18 10:06:24+00 | F35-39   | 4           |
+-----------------+------------------------+----------+-------------+