Question

What percentage is $13$ week for one year?

Answer 1

Hint: First, we need to find the number of weeks in one year. After that, we will use the method called unitary method to find the fractions of the year in $13$ weeks. Once the fraction of the year is found, we will multiply it with the number $100$ to get the percentage form of the required answer.

Complete step by step answer:
Since from the given that we asked to find the percentage of $13$ weeks of one year. So, first, we need to know the number of weeks in one year.
Now, it is a predetermined fact that one year contains $52$ weeks or $12$ months.
So now we do not have any work for the number of months, so we leave that part and consider the weeks only.
Therefore, the number of weeks in the one year is $52$ weeks.
Hence applying the unitary method (converting years into weeks), we have the number of years $1$ week can be represented as $1W = \dfrac{1}{{52}}Y$ (years)
Now multiplying both sides with the number $13$ to obtain the $13$ weeks of one year. Then we get $13W = \dfrac{{13}}{{52}}Y$ and by division operation we get $13W = \dfrac{1}{4}Y$
Thus, to find its percentage value we will multiply it with the number $100$ to get the percentage form of the required answer. Hence, we have $\dfrac{1}{4} \times 100 = 25\% $
Hence, we will conclude that the percentage of $13$ weeks of one year is $25\% $

Note:
The concept of Percentage is used to find the given share or amount of something in terms of $100$. Since percentage formula is: Percentage = given value divided by total value $ \times 100$
Since we have to remember the number of weeks, months, and days in one year and hence it is easy to solve as above.
We also used the basic unitary method to obtain the required answer. We are also able to use the direct formula of the required percentage using the percentage formula.