Write SQL query to solve given problem: How many recipients of the Primetime Emmy Award category that were born in the USA? Find the percentage of Americans in the total number of the country.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT SUM(CASE WHEN T1.birth_country = 'USA' THEN 1 ELSE 0 END) AS num , CAST(SUM(CASE WHEN T1.birth_country = 'USA' THEN 1 ELSE 0 END) AS REAL) * 100 / COUNT(*) FROM Person AS T1 INNER JOIN Award AS T2 ON T1.name = T2.person WHERE T2.award_category = 'Primetime Emmy' AND T2.person = 'Dan Castellaneta';