What percent is 7 out of 15?

Understand the Problem

The question is asking for the percentage value of 7 in relation to 15. To find this, we will divide 7 by 15 and then multiply the result by 100 to convert it into a percentage.

Answer

The percentage of 7 relative to 15 is $46.67\%$.
Answer for screen readers

The percentage value of 7 in relation to 15 is $46.67%$.

Steps to Solve

  1. Divide 7 by 15
    To find the fraction of 7 in relation to 15, we first divide 7 by 15.
    $$ \frac{7}{15} $$

  2. Multiply by 100
    Now, we convert the fraction into a percentage by multiplying the result from the first step by 100.
    $$ \left( \frac{7}{15} \right) \times 100 $$

  3. Calculate the final result
    Now we perform the calculation:
    First, find the value of $ \frac{7}{15} \approx 0.4667 $, then multiply by 100.
    $$ 0.4667 \times 100 = 46.67 $$

The percentage value of 7 in relation to 15 is $46.67%$.

More Information

The percentage value tells us how large a part 7 is when compared to a whole of 15. It is common in many real-world applications, like statistics and shopping discounts, to express values as percentages to make comparisons easier.

Tips

  • Forgetting to multiply by 100 after dividing, resulting in a decimal instead of a percentage.
  • Miscalculating fractions when dividing, which can lead to an incorrect final percentage. Always double-check your division.
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