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12 is what percent of 32?

Understand the Problem

The question is asking for the percentage that 12 represents of 32. To find this, we can use the formula (part/whole) * 100, where the part is 12 and the whole is 32.

Answer

$37.5\%$
Answer for screen readers

The final answer is $37.5%$.

Steps to Solve

  1. Identify Part and Whole First, identify the part and the whole. In this case, the part is 12 and the whole is 32.

  2. Use the Percentage Formula Now, use the percentage formula which is given by: $$ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 $$

  3. Substitute Values Substitute the values of the part and the whole into the formula: $$ \text{Percentage} = \left( \frac{12}{32} \right) \times 100 $$

  4. Perform the Calculation Calculate the fraction first: $$ \frac{12}{32} = 0.375 $$

Then, multiply by 100: $$ 0.375 \times 100 = 37.5 $$

  1. Final Result Thus, the final result indicates that 12 is 37.5% of 32.

The final answer is $37.5%$.

More Information

This result shows that the number 12 represents 37.5% of the total 32. Percentages are frequently used in various fields like finance, statistics, and everyday calculations to express how one quantity relates to another.

Tips

  • Ignoring to multiply by 100: It's common to forget that you need to multiply the fraction by 100 to convert it into a percentage. Make sure to include this step!
  • Not simplifying the fraction: Some may forget to simplify the fraction before multiplying. Always check if you can simplify for easier calculations.
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