Write SQL query to solve given problem: For the orders of Customer "WHITC", what is the percentage of the orders were fulfilled with shipper company "United Package"?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(COUNT(CASE WHEN T2.CompanyName = 'United Package' THEN 1 ELSE NULL END) AS REAL) * 100 / COUNT(T1.OrderID) FROM Orders AS T1 INNER JOIN Shippers AS T2 ON T1.ShipVia = T2.ShipperID WHERE T1.CustomerID = 'WHITC'