When asked to calculate the percentage of a number, it is a straightforward process derived from fundamental arithmetic. To solve this specific problem, you must first understand the value of the whole, the percentage, and the part. In the context of our initial question, "3 of 11", the whole refers to the total number 11, the percentage is the measure of 3%, and the part is what we are seeking to calculate—an estimation of 3% of the whole, which is 11.
Using the classic formula, which applies a percentage to a whole, you divide the whole by the hundredth place value of the percentage. With our example, you would take the 11 and multiply it by 0.03, the resulting value is 0.333. As a percentage, this figure is 33.3%.
Another method for solving this problem involves converting the percentage to a decimal and then multiplying it by thewhole. To convert 3% to a decimal, divide 3 by 100, generating a decimal of 0.03. After that, you simply multiply 0.03 by 11, resulting in another decimal of 0.333, which is the same as 33.3%.
In both scenarios, we arrive at thethat 3% of the whole, which is 11, is approximately 33.3%. This figure is equal to 0.333 when represented as a decimal.
For additional clarity, this figure represents 3 out of 11 questions on a test, where the full mark is 11. If someone answers 3 questions correctly out of 11, they will receive apercentage grade of 33.3%.
It is crucial to remember that the formula for calculating a percentage of any number can be adapted to accommodate different scenarios. Whether you're working with small numbers, like 3, or large ones, such as 11, the process remains the same.