Math Problem Statement

498.3 is what percent of 352? Round to the nearest thousandth.

Solution

To find what percent 498.3 is of 352, use the formula for percentage:

Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100

Here, the part is 498.3, and the whole is 352:

Percentage=(498.3352)×100=1.41449×100=141.449%\text{Percentage} = \left(\frac{498.3}{352}\right) \times 100 = 1.41449 \times 100 = 141.449\%

Rounding to the nearest thousandth:

141.449%\boxed{141.449\%}

Would you like further details or clarifications?

Here are 5 related questions:

  1. How do you calculate the percentage decrease if the whole was reduced from 498.3 to 352?
  2. What is 352 as a percentage of 498.3?
  3. If 498.3 increased by 20%, what would be the new value?
  4. What is 498.3 as a fraction of 352 in simplest form?
  5. How do you calculate percentage difference between two numbers?

Tip: Always multiply by 100 when converting a fraction to a percentage.

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Math Problem Analysis

Mathematical Concepts

Percentage
Ratios

Formulas

Percentage = (Part / Whole) * 100

Theorems

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Suitable Grade Level

Grades 6-8