To determine what percentage 500 meters is of 2 kilometers, follow these steps:
1. Understand the Units:
- The partial distance given is 500 meters.
- The total distance is given in kilometers (2 kilometers). Since percentage calculations require the same units, we need to convert kilometers to meters.
2. Convert Kilometers to Meters:
- 1 kilometer is equivalent to 1000 meters.
- Therefore, 2 kilometers is [tex]\( 2 \times 1000 = 2000 \)[/tex] meters.
3. Set Up the Percentage Calculation:
- To find the percentage, we use the formula:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Total}} \right) \times 100
\][/tex]
- Here, the part is 500 meters and the total is 2000 meters.
4. Calculate the Percentage:
- Substitute the values into the formula:
[tex]\[
\text{Percentage} = \left( \frac{500}{2000} \right) \times 100
\][/tex]
- First divide 500 by 2000:
[tex]\[
\frac{500}{2000} = 0.25
\][/tex]
- Multiply by 100 to convert to a percentage:
[tex]\[
0.25 \times 100 = 25.0
\][/tex]
Therefore, 500 meters is 25% of 2 kilometers.
