What is the percentage of the number of 4-year public schools from Madison Area Technical College's home state in the Alabama?
percentage = MULTIPLY(DIVIDE(SUM(chronname = 'Madison Area Technical College'), SUM(state = 'Alabama')), 100); 4-year refers to level = '4-year'; public refers to control = 'Public'; Madison Area Technical College refers to chronname = 'Madison Area Technical College'; home state in the United States refers to state;
SELECT CAST(COUNT(DISTINCT CASE WHEN T1.state = ( SELECT T1.state FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON T2.state = T1.state WHERE T1.chronname = 'Madison Area Technical College' ) AND T1.level = '4-year' AND T1.control = 'Public' THEN T1.chronname ELSE NULL END) AS REAL) * 100 / COUNT(DISTINCT CASE WHEN T2.state = 'Alabama' THEN T1.chronname ELSE NULL END) FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON T2.state = T1.state