409.2 is what percent of 200.9?
Answer (2)
Set up the equation: 409.2 = 100 p × 200.9 .
Solve for p : p = 200.9 409.2 × 100 .
Calculate p : p ≈ 203.6834 .
Round to two decimal places: 203.68 .
Explanation
Understanding the Problem We are asked to find what percentage of 200.9 is 409.2. Let's denote the percentage we are looking for as p .
Setting up the Equation We can express the problem as an equation: 409.2 = 100 p × 200.9
Isolating p To solve for p , we multiply both sides of the equation by 100 and divide by 200.9: p = 200.9 409.2 × 100 p = 200.9 40920
Calculating p Now, we perform the calculation: p ≈ 203.68342458934794 Rounding to two decimal places, we get: p ≈ 203.68
Final Answer Therefore, 409.2 is approximately 203.68% of 200.9.
Examples
Understanding percentages is crucial in everyday life. For instance, when calculating discounts at a store, determining interest rates on loans, or analyzing statistical data, percentages provide a standardized way to express proportions and changes. In this case, knowing how to calculate what percentage one number is of another helps in comparing values and understanding relative sizes, which is useful in financial analysis, scientific research, and many other fields.
To find what percent 409.2 is of 200.9, you set up the equation 409.2 = 100 p × 200.9 . Solving for p gives approximately 203.68%, meaning 409.2 is about 203.68% of 200.9.
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