What percent of 300 is 20
The Correct Answer and Explanation is :
To find what percent of 300 is 20, we can use the formula for calculating percentage, which is:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the “Part” is 20, and the “Whole” is 300. Plugging these values into the formula gives us:
[
\text{Percentage} = \left( \frac{20}{300} \right) \times 100
]
Calculating the fraction first:
[
\frac{20}{300} = 0.0667 \quad (\text{approximately})
]
Now, we multiply by 100 to convert it into a percentage:
[
0.0667 \times 100 = 6.67\%
]
Thus, 20 is 6.67% of 300.
Explanation
Calculating percentages is a fundamental skill in mathematics and is widely applicable in everyday life. When determining what percent one number is of another, the basic approach involves dividing the smaller number (the part) by the larger number (the whole) and then multiplying by 100 to express the result as a percentage.
In this scenario, we are examining how 20 compares to 300. This method is particularly useful in various contexts, such as financial calculations, statistics, and even basic problem-solving in daily situations, like budgeting or understanding sales tax.
Understanding percentages helps us interpret data and make informed decisions. For instance, if you were to look at a situation where you needed to assess performance or completion rates, knowing what percent of a goal has been achieved can be crucial.
This approach can also be extended to more complex calculations, such as determining percentage increases or decreases, analyzing ratios, and even applying it in fields like healthcare, where understanding percentage-based data can inform treatment plans or patient care strategies. Overall, mastering percentage calculations empowers individuals to navigate numerical information confidently and effectively.