28 is what percent of 50?
The correct answer and explanation is:
Correct Answer:
To find what percent 28 is of 50, use the formula: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 Percentage=(2850)×100=56%\text{Percentage} = \left( \frac{28}{50} \right) \times 100 = 56\%
Explanation (300 words):
To understand what percent one number is of another, you are essentially asking: “If the second number is considered 100%, how much of that is the first number?” This concept is foundational in math, especially in topics involving proportions, comparisons, and data analysis.
In this case, the question asks: “28 is what percent of 50?” This means 50 is being treated as the whole, or the base value (100%), and you want to know what portion or percentage 28 represents of that whole.
The percentage formula is: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Here, the “part” is 28 and the “whole” is 50. Plugging these values into the formula: (2850)×100=0.56×100=56%\left( \frac{28}{50} \right) \times 100 = 0.56 \times 100 = 56\%
So, 28 is 56% of 50.
This result makes sense when you consider that 50% of 50 is 25, and 28 is slightly more than that. Since 28 is 3 more than 25, it adds up to 56%, showing it’s just over half of 50.
Knowing how to calculate percentages like this is useful in many real-life situations — such as calculating discounts, comparing quantities, analyzing statistics, or budgeting expenses. Understanding percentages also helps in interpreting graphs and data, especially in business, health, and education fields. By practicing this method, you’ll be more confident in working with percent problems in both academic settings and everyday life.