What number is 40% of 135?
The Correct Answer and Explanation is :
To find 40% of 135, you can use the formula for calculating percentages:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, you want to find 40% of the whole number 135. Here’s how you can calculate it step by step:
- Convert the percentage to a decimal:
[
40\% = \frac{40}{100} = 0.40
] - Multiply the decimal by the whole number:
[
0.40 \times 135
] - Perform the multiplication:
[
0.40 \times 135 = 54
]
Thus, 40% of 135 is 54.
Explanation
Understanding how to calculate percentages is a crucial skill used in various fields, including finance, education, and everyday life. A percentage is essentially a way of expressing a number as a fraction of 100. When we say 40%, we mean 40 out of every 100 parts of a whole.
Calculating percentages can be done in several ways, but one straightforward method involves converting the percentage into a decimal. This is done by dividing the percentage by 100. In our example, 40% became 0.40. By multiplying this decimal by the whole number (in this case, 135), we find out how much 40% represents of that whole.
This approach is applicable in numerous scenarios. For instance, if you’re shopping and want to find out how much a 40% discount on a $135 item would save you, you would use the same calculation. Similarly, in academics, understanding percentages is crucial for interpreting grades, statistics, and data analysis.
Ultimately, mastering percentage calculations enhances your mathematical skills, enabling you to make informed decisions based on quantitative data. Whether in business, education, or daily financial decisions, the ability to calculate percentages like 40% of 135 is invaluable.