35% of 40 is what number?
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The Correct answer and Explanation is:
To calculate 35% of 40, you can follow these steps:
- Convert the percentage to a decimal:
- To convert a percentage to a decimal, divide by 100.
- So, 35% becomes ( \frac{35}{100} = 0.35 ).
- Multiply the decimal by the number:
- Now, multiply the decimal by 40.
- This calculation looks like this:
[
0.35 \times 40 = 14
]
Thus, 35% of 40 is 14.
Detailed Explanation
Understanding percentages is a crucial skill in both everyday life and various fields, including finance, health, and education. A percentage represents a portion out of 100. For example, saying 35% means that for every 100 parts, 35 parts are being considered.
To perform the calculation of 35% of a number, you first need to convert the percentage into a decimal. This is done by dividing the percentage by 100. Therefore, 35% becomes 0.35. This step is essential because most mathematical operations are more straightforward when dealing with decimals than percentages.
Next, you multiply this decimal (0.35) by the number you want to find the percentage of—in this case, 40. This operation can be interpreted as finding out how many parts of 40 are represented by 35%.
Multiplying 0.35 by 40 yields 14. This result means that if you divide the number 40 into 100 equal parts, 35% of those parts would equal 14. This concept is widely applicable; for instance, in shopping, if you see a 35% discount on a $40 item, the discount amount is $14, making the final price $26.
This calculation is foundational and can be used in various scenarios, such as determining tax amounts, interest rates, or any situation where understanding parts of a whole is necessary. Understanding how to calculate percentages can enhance decision-making and budgeting skills.