Write SQL query to solve given problem: Calculate the ratio in percentage between the average number of female and male students who joined Fire Department organization.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(IIF(T2.name IS NULL, 1, 0)) AS REAL) * 100 / COUNT(T1.name), CAST(SUM(IIF(T2.name IS NOT NULL, 1, 0)) AS REAL) * 100 / COUNT(T1.name) FROM enlist AS T1 LEFT JOIN male AS T2 ON T2.name = T1.name WHERE T1.organ = 'fire_department'