Find the percent of the number. 30% of 70 =
If you can please explain how you got the answer.
The Correct Answer and Explanation is :
To find 30% of 70, you can follow these steps:
- Understand what percent means: The term “percent” means “per hundred.” So, 30% can be written as a fraction: ( \frac{30}{100} ).
- Convert the percent to a decimal: To make calculations easier, you can convert the percentage into a decimal. You do this by dividing by 100. So, 30% as a decimal is:
[
30\% = \frac{30}{100} = 0.30
] - Multiply by the number: Now, to find 30% of 70, you multiply the decimal representation of the percentage by the number. This can be set up as:
[
30\% \text{ of } 70 = 0.30 \times 70
] - Perform the multiplication:
[
0.30 \times 70 = 21
]
Thus, 30% of 70 is 21.
Explanation
Understanding how to calculate percentages is a fundamental mathematical skill that is widely applicable in various real-life situations, such as budgeting, finance, and shopping. The percentage concept involves comparing a number to 100. By expressing percentages as fractions or decimals, we simplify calculations significantly.
In this case, we first converted 30% into its decimal form (0.30) to facilitate the multiplication with the whole number (70). This conversion is key, as it allows us to accurately scale the whole number to the desired percentage.
After obtaining the decimal, we multiplied it by 70, which represents the total amount we are interested in analyzing. This step helps us determine what 30% of that total is.
In summary, to find a percentage of a number, you can follow these three steps: convert the percentage to a decimal, multiply that decimal by the number in question, and arrive at the answer. This method is consistent and reliable, allowing for accurate calculations across various contexts involving percentages.