Question

What percent of 64 is 30?

Answer 1

Hint: In mathematics, a ratio or a number expressed as a fraction of 100 is called a percentage. It is denoted by the symbol ‘%’. Percentage is a dimensionless number. It has no unit of measurement. Percentages are often used to express a proportionate part of a total.

Formula used:
Suppose that, there are \[m\] total objects and we took \[n\] out of them. Then, the percent of things that we took is calculated by formula \[\dfrac{{{\text{parts}}}}{{{\text{total}}}} \times 100\]
So, the percentage that we took is \[\dfrac{n}{m} \times 100\]

Complete step by step solution:
Let us assume that \[m\] percent of 64 is 30. In mathematical way, we can write,
\[\dfrac{m}{{100}} \times 64 = 30\]
Multiplying the whole equation by 100, we get,
\[m \times 64 = 30 \times 100\]
Now, dividing the whole equation by 64, we get,
\[m = \dfrac{{30 \times 100}}{{64}}\]
\[ \Rightarrow m = \dfrac{{3000}}{{64}}\]
So, we get the value as \[m = 46.875\]
Therefore, 46.875 percent of 64 is equal to 30.

Note:
If the percentage is equal to \[100\% \], then it represents a whole unit. And \[50\% {\text{ and 25% }}\] represents half and quarter parts of a whole. The word percent means “per-cent” where ‘cent’ means hundred.
So, percent means that ‘per every hundred’. So, in a simple way, percentage defines the number of parts of units present in every 100 parts.