Write SQL query to solve given problem: Among the female legislators, what is the percentage of the senators in Maine?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(CASE WHEN T2.type = 'sen' THEN 1 ELSE 0 END) AS REAL) * 100 / COUNT(T2.type) FROM current AS T1 INNER JOIN `current-terms` AS T2 ON T1.bioguide_id = T2.bioguide WHERE T2.state = 'ME' AND T1.gender_bio = 'F'