Write SQL query to solve given problem: Which 4-year private for-profit school in "KY" has the highest graudation 150 value? Give the ID for the school.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.chronname, T1.unitid FROM institution_details AS T1 INNER JOIN state_sector_grads AS T2 ON T2.state = T1.state WHERE T2.state_abbr = 'KY' AND T1.level = '4-year' AND T1.control = 'Private for-profit' GROUP BY T1.chronname ORDER BY SUM(T1.grad_150_value) DESC LIMIT 1