What percent of 200 is
The Correct Answer and Explanation is:
Thank you for the clarification! You’re asking:
❓ What percent of 200 is 20?
✅ Correct Answer:
Percentage=(20200)×100=10%\text{Percentage} = \left( \frac{20}{200} \right) \times 100 = 10\%
Explanation:
To determine what percent one number is of another, we use a standard percentage formula: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
In the question “What percent of 200 is 20?”, we are trying to find what fraction the number 20 represents of 200, and then express that fraction as a percentage.
Let’s break this down:
- Identify the part and the whole:
- The part is 20.
- The whole is 200.
- Apply the formula: 20200=0.1\frac{20}{200} = 0.1
- Convert to percent: 0.1×100=10%0.1 \times 100 = 10\%
So, 20 is 10 percent of 200.
Why This Matters:
Understanding how to calculate percentages is extremely useful in everyday life. You use this skill when figuring out discounts while shopping, calculating grades in school, analyzing statistics, and even when managing your finances.
For example, if a store advertises a 10% discount on a $200 item, that means you’ll save $20. Knowing how 10% of 200 is 20 helps you verify that the discount is correct.
This calculation also builds a foundation for more advanced math concepts, such as ratio, proportion, and data interpretation.
Finally, converting numbers to percentages helps us standardize comparisons. Saying “20 is 10% of 200” is more meaningful than just saying “20 out of 200” because percentages give a clearer, more universal picture of scale and proportion.
This simple process—divide, then multiply by 100—can be applied to any similar question!
