Write SQL query to solve given problem: What is the percentage of flights which landed at Pittsburgh were faster than scheduled?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(CASE WHEN T1.ACTUAL_ELAPSED_TIME < T1.CRS_ELAPSED_TIME THEN 1 ELSE 0 END) AS REAL) * 100 / COUNT(*) FROM Airlines AS T1 INNER JOIN Airports AS T2 ON T2.Code = T1.DEST WHERE T2.Description LIKE '%Pittsburgh%' AND T1.CRS_ELAPSED_TIME IS NOT NULL AND T1.ACTUAL_ELAPSED_TIME IS NOT NULL