Work out 20% of 300 km.
WARY
Give your answer in kilometres (km).
The Correct Answer and Explanation is :
To calculate 20% of 300 kilometers (km), you can use a simple formula:
[
\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100
]
In this case, you are looking for the “part” that corresponds to 20% of the “whole,” which is 300 km.
Step-by-Step Calculation
- Convert the percentage to a decimal:
[
20\% = \frac{20}{100} = 0.20
] - Multiply the decimal by the total distance:
[
0.20 \times 300 = 60
]
Thus, 20% of 300 km is 60 kilometers (km).
Explanation
Understanding percentages is crucial in various real-life applications, including finance, statistics, and everyday decision-making. A percentage represents a fraction out of 100, allowing you to express how much of a whole you have in a more understandable format.
In this example, calculating 20% of a distance (300 km) is a straightforward application of the concept of percentages. This could relate to practical situations like determining how far you would travel if you only covered 20% of a long journey. For instance, if you were planning a trip of 300 km and wanted to know how far you would travel after covering a fifth of it, you would find that distance to be 60 km.
Moreover, this calculation can be applied in various scenarios, such as budgeting for fuel costs, estimating travel times, or even assessing the percentage of a goal you have achieved. For example, if you planned to drive 300 km to a destination and reached the 20% mark, knowing you have covered 60 km can help you understand how much distance remains and plan accordingly.
In summary, the calculation of 20% of 300 km is not just a mathematical exercise; it provides insights into real-world applications that involve measuring distances and understanding proportional relationships.