The Correct Answer and Explanation is:
42%
To find out what percent 273 is of 650, you are essentially determining how large the “part” (273) is in relation to the “whole” (650), and then expressing that relationship as a number out of 100. There are a couple of common ways to solve this type of problem.
One reliable method is to use the formula: (Part ÷ Whole) × 100 = Percentage.
In this case, the “part” is 273 and the “whole” is 650.
First, you divide the part by the whole:
273 ÷ 650 = 0.42
This result, 0.42, is the decimal equivalent of the percentage. To convert a decimal to a percentage, you multiply it by 100.
0.42 × 100 = 42
So, 273 is 42% of 650.
Another way to approach this is by setting up an algebraic equation. The question “273 is what percent of 650?” can be translated into a mathematical statement. Let’s use the variable ‘x’ to represent the unknown percentage. The word “is” translates to an equals sign (=), and the word “of” indicates multiplication. The equation would be:
273 = (x/100) × 650
To solve for x, you first want to isolate the term with x. You can start by dividing both sides of the equation by 650:
273 / 650 = x / 100
0.42 = x / 100
Now, to solve for x, you multiply both sides by 100:
0.42 × 100 = x
42 = x
Both methods demonstrate that 273 is 42% of 650. The calculation shows that 273 makes up a specific fraction of 650, and when that fraction is scaled to be out of 100, it equals 42.
