as a percent. th shi problem 1. 258 of the contestant 4. \frac{300}{258}
The Correct Answer and Explanation is:
✅ Correct Answer:
258300×100=86%\frac{258}{300} \times 100 = 86\%300258×100=86%
So, 258 is 86% of 300.
Explanation:
To understand this problem, we start by interpreting the question: “258 of the contestants” and then the fraction “300258\frac{300}{258}258300” seem to be mistakenly mixed up. Based on the context, the likely intention is to find what percent 258 is of 300 contestants.
In percentage problems, the basic idea is to express one quantity as a part of another, scaled out of 100. In other words, a percentage tells us how many parts out of 100 a number represents.
To find what percent 258 is of 300, we use the formula:Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100Percentage=(WholePart)×100
Here, the part is 258 (the number of contestants we’re talking about), and the whole is 300 (the total number of contestants). Plugging the values into the formula:258300×100=86%\frac{258}{300} \times 100 = 86\%300258×100=86%
This tells us that 258 represents 86 percent of 300.
A common mistake is to reverse the numbers and calculate 300258×100\frac{300}{258} \times 100258300×100, which would incorrectly tell us what percent 300 is of 258—not what we’re being asked.
Percentages are useful in all areas of life—from test scores to discounts to populations—because they allow us to easily compare values regardless of their actual size.
So in this case, if a competition had 300 contestants, and 258 of them passed a round, then 86% of the contestants succeeded. This helps us quickly assess the success rate, efficiency, or performance without needing the actual counts every time.
