Question: I’m trying to calculate what percentage is 46 out of 50. 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 46 out of 50 in percentage, and how you calculate it.

What is 46/50 in percentage?

Answer: 46 is 92% out of 50.

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

Method 1: Long division with remainder

Calculate \( 46:50 \)

  1. 50 enters into 46, 0 times, remainder 46
    Result (ongoing) = 0.
    Multiply the remainder by 10 to get 460. Now calculate 460 : 50
  2. 50 enters into 460, 9 times, remainder 10
    Result (ongoing) = 0.9
    Multiply the remainder by 10 to get 100. Now calculate 100 : 50
  3. 50 enters into 100, 2 times, remainder 0
    Remainder = 0, means you're done.
    Result (final) = 0.92

Now you multiply the reults by 100 \( (0.92 \times 100 = 92 ) \) and you get 92%.

Solution: 46 out of 50 equals 92%.

Method 2: Using fractions

Calculate \( P(\text{%}) = \frac{ 46 }{ 50 } \times 100 \)

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

  2. In our case we need \( \frac { 46 \times x }{ 50 \times x } \times 100 \)

    That means \( 50 \times x = 100 \)

    \( x = \frac{100}{ 50 } = 2 \)

  3. Our fraction is now \( \frac { 46 \times 2 }{ 50 \times 2 } \times 100 \)

  4. We know that the denominator \( 50 \times 2 = 100 \) so we construct the fraction again.

    \( P = \frac { 46 \times 2 }{100} \times 100 \)
    \(= 46 \times 2 \)

  5. Since \( 46 \times 2 = 92 \), we have our result
    \( P = 92 \).

Solution: 46 out of 50 equals 92%.

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