36 is what percent of 40
The Correct Answer and Explanation is :
To find what percent 36 is of 40, you can use this simple formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the part is 36, and the whole is 40.
[
\text{Percentage} = \left( \frac{36}{40} \right) \times 100 = 0.9 \times 100 = 90\%
]
So, 36 is 90% of 40.
Explanation:
When we calculate percentages, we are finding out how much one number (the part) represents as a fraction of another number (the whole). Percent means “per 100,” so when we express a number as a percentage, we are saying how many parts out of 100 the number would be.
In this case, 36 is compared to 40. By dividing 36 by 40, we get 0.9. This number represents the decimal form of the relationship between 36 and 40. To express this as a percentage, we multiply by 100. Thus, we find that 36 is 90% of 40.
Here’s a breakdown of why this works:
- The fraction (\frac{36}{40}) simplifies to 0.9, because 36 is 90% of 40 in decimal form.
- Multiplying by 100 converts this decimal to a percentage. Therefore, 0.9 becomes 90%.
This method applies universally to find percentages. Whether you’re dealing with larger numbers or more complex values, this process—dividing the part by the whole and then multiplying by 100—will always yield the correct percentage.