what percentage of 2kg is 500 g
The Correct Answer and Explanation is:
Correct Answer:
500 grams is 25% of 2 kilograms.
Explanation
To find what percentage 500 grams is of 2 kilograms, we must first understand the relationship between grams and kilograms:
- 1 kilogram (kg) = 1000 grams (g)
- Therefore, 2 kilograms = 2 × 1000 = 2000 grams
Now, we are comparing 500 grams to 2000 grams. The question is essentially asking:
What percentage is 500 out of 2000?
To calculate this, we use the formula:Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100Percentage=(WholePart)×100
Here:
- Part = 500 (the amount we’re comparing)
- Whole = 2000 (the total amount)
Percentage=(5002000)×100=0.25×100=25%\text{Percentage} = \left( \frac{500}{2000} \right) \times 100 = 0.25 \times 100 = 25\%Percentage=(2000500)×100=0.25×100=25%
So, 500 grams is 25% of 2 kilograms.
Understanding Why:
Percentages help us express parts of a whole in terms of “per hundred.” For example, if you have 25% of something, you have 25 out of every 100 parts of it. When comparing weights or quantities, converting to the same unit first (in this case, converting kilograms to grams) ensures accurate calculations.
In practical terms, if you had 2 kg of sugar and used 500 g, you’ve used one-quarter of the total. Since one-quarter is 25%, this makes sense both mathematically and conceptually.
This type of calculation is commonly used in real-life situations like cooking, budgeting, and analyzing data. Understanding percentages helps make sense of proportions and comparisons quickly and clearly.
