38 is what percent of 40
The correct answer and explanation is:
To find what percent 38 is of 40, you use the formula: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Step-by-step:
- Part = 38
- Whole = 40
Percentage=(3840)×100=0.95×100=95%\text{Percentage} = \left( \frac{38}{40} \right) \times 100 = 0.95 \times 100 = 95\%
✅ Correct Answer: 38 is 95% of 40
📚 300-Word Explanation:
Understanding percentages is a fundamental part of math used in everyday life. Percent means “per hundred,” so when we ask what percent one number is of another, we’re essentially asking, “Out of 100, how much would this be?”
In this problem, we want to know what percent 38 is of 40. The process involves dividing the part (38) by the whole (40), and then multiplying the result by 100 to convert it into a percentage. 3840=0.95\frac{38}{40} = 0.95
This decimal tells us that 38 is 0.95 of 40. To express this as a percentage, multiply by 100: 0.95×100=95%0.95 \times 100 = 95\%
This means 38 is 95% of 40.
To visualize this, imagine a group of 40 apples. If someone has 38 apples from that group, they have 95% of the total number. This is almost the whole amount, but just slightly less — exactly 5% short.
This type of calculation is very useful in finance, grading, and measurement. For example, if a student scores 38 points out of a possible 40 on a test, they earned 95%. That’s an excellent score!
In conclusion, the method is simple: divide the part by the whole, then multiply by 100. Always ensure the “whole” is the quantity you’re comparing against, which in this case was 40.