What is 65 percent of 40?
The Correct Answer and Explanation is :
To find 65 percent of 40, you can follow this simple calculation:
[
\text{65\% of 40} = \left(\frac{65}{100}\right) \times 40 = 0.65 \times 40 = 26
]
So, 65 percent of 40 is 26.
Explanation:
Percentages represent parts per hundred. When we say “65 percent,” it means 65 parts out of 100. To find a percentage of any number, the process involves converting the percentage to its decimal form and then multiplying it by the number.
- Convert the percentage to a decimal:
To convert 65 percent to a decimal, divide it by 100:
[
\frac{65}{100} = 0.65
]
This means 65 percent is equivalent to the decimal 0.65. - Multiply the decimal by the number:
Next, multiply the decimal (0.65) by the number you want to find the percentage of, in this case, 40:
[
0.65 \times 40 = 26
]
This step gives the final result, which is 26.
Why This Works:
Percentages are a convenient way to express parts of a whole. By converting the percentage to a decimal, you are scaling the number by that fraction of 100. Multiplying the decimal by the original number helps you determine exactly how much 65 percent of that number is.
This concept is commonly used in various real-life situations, such as calculating discounts, interest rates, or any scenario where a portion of a total is needed. Understanding how to calculate percentages is essential in both academic and everyday contexts.