Question: I’m trying to calculate what percentage is 25 out of 30. 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 25 out of 30 in percentage, and how you calculate it.

What is 25/30 in percentage?

Answer: 25 is 83.33% out of 30.

We have two methods to figure out what is 25/30 in percent, with steps for easy understanding.

Method 1: Long division with remainder

Calculate \( 25:30 \)

  1. 30 enters into 25, 0 times, remainder 25
    Result (ongoing) = 0.
    Multiply the remainder by 10 to get 250. Now calculate 250 : 30
  2. 30 enters into 250, 8 times, remainder 10
    Result (ongoing) = 0.8
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  3. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.83
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  4. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.833
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  5. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.8333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  6. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.83333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  7. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.833333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  8. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.8333333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  9. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.83333333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30
  10. 30 enters into 100, 3 times, remainder 10
    Result (ongoing) = 0.833333333
    Multiply the remainder by 10 to get 100. Now calculate 100 : 30

Now you multiply the reults by 100 \( (0.833333333 \times 100 = 83.333333333333 ) \) and you get 83.333333333333%.

Solution: 25 out of 30 equals 83.333333333333%.

Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 25 }{ 30 } \times 100 \)

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

  2. In our case we need \( \frac { 25 \times x }{ 30 \times x } \times 100 \)

    That means \( 30 \times x = 100 \)

    \( x = \frac{100}{ 30 } = 3.3333333333333 \)

  3. Our fraction is now \( \frac { 25 \times 3.3333333333333 }{ 30 \times 3.3333333333333 } \times 100 \)

  4. We know that the denominator \( 30 \times 3.3333333333333 = 100 \) so we construct the fraction again.

    \( P = \frac { 25 \times 3.3333333333333 }{100} \times 100 \)
    \(= 25 \times 3.3333333333333 \)

  5. Since \( 25 \times 3.3333333333333 = 83.333333333333 \), we have our result
    \( P = 83.333333333333 \).

Solution: 25 out of 30 equals 83.333333333333%.

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