Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72% of all the 200 questions. However, Owen answered 53.3% of the math questions correctly. If 45% of the questions were in math, what percent of history questions did Owen answer correctly?

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Calculate Total Correct Answers: Calculate the total number of questions Owen answered correctly. We know that Owen answered 72% of all 200 questions correctly. To find the total number of questions he answered correctly, we multiply 72% by 200. Total correct answers = 72% of 200 Total correct answers = 0.72 * 200 Total correct answers = 144Calculate Math Questions: Calculate the number of math questions. We know that 45% of the questions were math questions. To find the total number of math questions, we multiply 45% by 200. Total math questions = 45% of 200 Total math questions = 0.45 * 200 Total math questions = 90Calculate Correct Math Answers: Calculate the number of math questions Owen answered correctly. We know that Owen answered 53.3% of the math questions correctly. To find the number of math questions he answered correctly, we multiply 53.3% by the total number of math questions. Correct math answers = 53.3% of 90 Correct math answers = 0.533 * 90 Correct math answers = 47.97 Since the number of questions answered correctly cannot be a fraction, we round it to the nearest whole number. Correct math answers ≈ 48Calculate History Questions: Calculate the number of history questions. Since there are 200 questions in total and 90 are math questions, the rest are history questions. Total history questions = Total questions - Math questions Total history questions = 200 - 90 Total history questions = 110Calculate Correct History Answers: Calculate the number of history questions Owen answered correctly. We know that Owen answered a total of 144 questions correctly and 48 of these were math questions. To find the number of history questions he answered correctly, we subtract the number of correct math answers from the total number of correct answers. Correct history answers = Total correct answers - Correct math answers Correct history answers = 144 - 48 Correct history answers = 96Calculate Percentage of Correct History Answers: Calculate the percentage of history questions Owen answered correctly. To find the percentage, we divide the number of correct history answers by the total number of history questions and then multiply by 100. Percentage of correct history answers = (Correct history answers / Total history questions) * 100 Percentage of correct history answers = (96 / 110) * 100 Percentage of correct history answers ≈ 87.27%

Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered $72\%$ of all the $200$ questions. However, Owen answered $53.3\%$ of the math questions correctly. If $45\%$ of the questions were in math, what percent of history questions did Owen answer correctly?

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