Question: I’m trying to calculate what percentage is 13 out of 15. How do I do that?

MathBlog: A percent tells us how many parts out of 100 something is. To write a percent as a fraction, just remove the percent symbol and write the number over 100 as the denominator. Below we explain what is 13 out of 15 in percentage, and how you calculate it.

What is 13/15 in percentage?

Answer: 13 is 86.67% out of 15.

We have two methods to figure it out, with steps for easy understanding.

Method 1: Long division with remainder

Calculate \( 13:15 \)

  1. 15 enters into 13, 0 times, remainder 13
    Result (ongoing) = 0.
    Multiply the remainder by 10 to get 130. Now calculate 130 : 15
  2. 15 enters into 130, 8 times, remainder 10
    Result (ongoing) = 0.8
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  3. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.86
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  4. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.866
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  5. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.8666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  6. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.86666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  7. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.866666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  8. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.8666666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  9. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.86666666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15
  10. 15 enters into 100, 6 times, remainder 10
    Result (ongoing) = 0.866666666
    Multiply the remainder by 10 to get 100. Now calculate 100 : 15

Now you multiply the reults by 100 \( (0.866666666 \times 100 = 86.666666666667 ) \) and you get 86.666666666667%.

Solution: 13 out of 15 equals 86.666666666667%.

Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 13 }{ 15 } \times 100 \)

  1. We need to get the fraction to be of the type \( \frac{ P }{ 100 } \times 100 \)

  2. In our case we need \( \frac { 13 \times x }{ 15 \times x } \times 100 \)

    That means \( 15 \times x = 100 \)

    \( x = \frac{100}{ 15 } = 6.6666666666667 \)

  3. Our fraction is now \( \frac { 13 \times 6.6666666666667 }{ 15 \times 6.6666666666667 } \times 100 \)

  4. We know that the denominator \( 15 \times 6.6666666666667 = 100 \) so we construct the fraction again.

    \( P = \frac { 13 \times 6.6666666666667 }{100} \times 100 \)
    \(= 13 \times 6.6666666666667 \)

  5. Since \( 13 \times 6.6666666666667 = 86.666666666667 \), we have our result
    \( P = 86.666666666667 \).

Solution: 13 out of 15 equals 86.666666666667%.

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