Write SQL query to solve given problem: What is the percentage of people whose age greater than 24 and participate in winter season?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(COUNT(CASE WHEN T2.age > 24 AND T1.season = 'Winter' THEN 1 ELSE NULL END) AS REAL) * 100 / COUNT(T2.games_id) FROM games AS T1 INNER JOIN games_competitor AS T2 ON T1.id = T2.games_id