40% of 125 is what number?
The Correct Answer and Explanation is:
To find 40% of 125, you can follow these steps:
- Convert the percentage to a decimal:
Percentages are based on the number 100. To convert a percentage to a decimal, divide the percentage by 100. Therefore, 40% can be expressed as:40%=40100=0.4040\% = \frac{40}{100} = 0.4040%=10040=0.40 - Multiply the decimal by the number:
Now that we have converted 40% to a decimal (0.40), we multiply it by 125 to find the result:0.40×125=500.40 \times 125 = 500.40×125=50
Thus, 40% of 125 is 50.
Explanation of the Calculation Process
Understanding how to calculate a percentage is essential in various real-world scenarios, such as finance, health, and academic settings. A percentage represents a part out of a whole, with the whole being 100%.
When you need to find a specific percentage of a number, the steps involve two basic operations: converting the percentage to a decimal and then multiplying it by the target number. The conversion is straightforward: divide the percentage by 100. This process transforms the percentage into a fraction that can easily be manipulated mathematically.
After converting 40% to its decimal form (0.40), the next step is multiplication. This operation will give you the specific portion of the total number you are interested in.
In our case, multiplying 0.40 by 125 gives us 50, which is the amount that represents 40% of 125. This means that if you were to divide 125 into 100 equal parts, 40 of those parts would total 50.
Calculating percentages is not only limited to numbers like 125. This process can be applied to any figure, making it a versatile tool in problem-solving and analysis. Understanding these basic principles will enhance your mathematical literacy and help you apply these skills in practical situations.