320 is what percent of 800?

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Understand the Problem

The question is asking how to calculate the percentage that 320 represents of 800. To solve this, we will use the formula: (part/whole) * 100.

Answer

40\%
Answer for screen readers

The answer is ( 40% ).

Steps to Solve

  1. Identify the parts of the formula

In this problem, 320 is the part and 800 is the whole. We want to find what percentage 320 is of 800.

  1. Set up the percentage formula

Using the percentage formula: $$ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 $$ we substitute in the values: $$ \text{Percentage} = \left( \frac{320}{800} \right) \times 100 $$

  1. Calculate the fraction

First, calculate the fraction $ \frac{320}{800} $: $$ \frac{320}{800} = 0.4 $$

  1. Convert to percentage

Now, to find the percentage, multiply by 100: $$ 0.4 \times 100 = 40 $$

The answer is ( 40% ).

More Information

This means that 320 represents 40 percent of 800. Percentages are often used in various applications, including statistics, finance, and general data analysis, making this a useful calculation.

Tips

  • Forgetting to multiply by 100: It's essential to remember to complete the final multiplication to convert the decimal to a percentage.
  • Misplacing the values: Ensure to correctly identify which number is the part and which is the whole to avoid errors in calculation.

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