what is 95% of 40?part. _ = _. percentwhole. 100 percent
The Correct Answer and Explanation is :
To find 95% of 40, we can set up the problem as follows:
Part: ( x = 95\% )
Whole: ( 40 = 100\% )
The formula to calculate a percentage is:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
Rearranging the formula to find the part (which is 95% of the whole) gives us:
[
\text{Part} = \left( \text{Percentage} \times \text{Whole} \right) \div 100
]
Now, we can substitute the values into the equation:
[
\text{Part} = \left( 95 \times 40 \right) \div 100
]
Calculating the multiplication:
[
95 \times 40 = 3800
]
Now divide by 100 to find the part:
[
\text{Part} = \frac{3800}{100} = 38
]
Thus, 95% of 40 is 38.
Explanation:
Percentages are a way to express a number as a fraction of 100. When we say “95%,” we mean 95 out of 100. To find a percentage of a specific value, we multiply the percentage (expressed as a decimal) by the whole number we are interested in. In this case, 95% can also be expressed as 0.95.
When we calculated 95% of 40, we were looking for how much 95% represents in the context of the whole number 40. This is useful in many real-world applications, such as determining discounts, statistical data, or proportions in healthcare settings. Understanding how to calculate percentages allows us to make informed decisions based on quantitative data.
To summarize, 95% of 40 is calculated by taking 95% (or 0.95) of 40, which results in 38. This basic mathematical operation has broad implications across various fields, including finance, health metrics, and everyday calculations.