Write SQL query to solve given problem: What is the percentage of female patients who started the care plan in 2010?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(CASE WHEN T2.gender = 'F' THEN 1 ELSE 0 END) AS REAL) * 100 / COUNT(T1.PATIENT) AS percentage FROM careplans AS T1 INNER JOIN patients AS T2 ON T1.PATIENT = T2.patient WHERE strftime('%Y', T1.START) = '2010'