The Correct Answer and Explanation is:
The correct answer is 95%.
To determine what percent one number is of another, you can set up a simple equation based on the formula: (Part / Whole) × 100 = Percent. In this problem, the number 437 is the “part,” and the number 460 is the “whole,” as the question asks what portion of 460 is represented by 437.
First, you divide the part by the whole. The calculation is 437 divided by 460. This step gives you the decimal equivalent of the relationship between the two numbers.
437 ÷ 460 = 0.95
This result, 0.95, is the value of the part relative to the whole. To express this decimal as a percentage, you must multiply it by 100. The word “percent” originates from the Latin phrase “per centum,” which means “per hundred.” Therefore, multiplying the decimal by 100 converts it into the percentage format.
0.95 × 100 = 95
So, 437 is 95% of 460.
You can verify this answer by working backward. To find 95% of 460, you would first convert the percentage to a decimal by dividing it by 100 (95 ÷ 100 = 0.95) and then multiply that decimal by the whole number.
0.95 × 460 = 437
Since this calculation returns the original “part” number, it confirms that the answer of 95% is correct. This process is a fundamental skill in mathematics, useful for understanding proportions, statistics, and financial calculations in everyday life.
