28 is what percent of 50?
The correct answer and explanation is:
Correct Answer:
28 is 56% of 50.
Explanation (300 words):
To find what percent 28 is of 50, we use the basic percentage formula: Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
Here:
- Part = 28
- Whole = 50
Percentage=(2850)×100=0.56×100=56%\text{Percentage} = \left(\frac{28}{50}\right) \times 100 = 0.56 \times 100 = 56\%
So, 28 is 56 percent of 50.
Why this works:
Percentages are a way to express numbers as a fraction of 100. Saying “56%” simply means 56 out of every 100. In this case, we are asking how many out of 100 is 28 when compared to 50. That’s why we compare the number 28 (the part) to 50 (the whole) and then multiply by 100 to convert it into a percentage.
This type of question is very common in both math classes and real life. For example, if a student scores 28 marks out of 50 in a test, teachers or students often want to know the percentage score. Calculating it as above shows that the student got 56% of the total marks.
Practical Tip:
To quickly estimate percentages mentally:
- Divide the part by the whole to get a decimal.
- Move the decimal point two places to the right (which multiplies by 100).
- That gives the percentage.
So: 28÷50=0.56⇒0.56×100=56%28 \div 50 = 0.56 \Rightarrow 0.56 \times 100 = 56\%
Understanding this helps you not only in tests but also in shopping discounts, budgeting, and data interpretation in everyday life.