Question

What percent of 60 is 27?

Answer 1

Hint: We are given a question to find a certain percentage of 60 which when computed gives the value 27. We will first suppose that the unknown percentage is \[x\%\]. The mathematical expression for the statement given to us is, \[x\%\] of 60 is 27 or \[x\%\times 60=27\]. We will solve this particular expression for \[x\]. We will reduce the expression as much as possible and obtain the value of \[x\]. Hence, we will have the required percent of 60 that equals 27.

Complete step by step answer:
According to the given question, we are asked to find the percent of a certain number 60 which when computed or solved gives the value as 27.
Let the percentage to be found be \[x\%\].
So, as per the given question, the mathematical equivalent would be something like,
\[x\%\times 60=27\]
We will now solve this above expression and find the value of the unknown parameter \[x\]. We have,
\[\Rightarrow \dfrac{x}{100}\times 60=27\]
In the above expression we can see 10 in the factors of 60 and 100 which are numerator and the denominator respectively. We will cancel out that 10 and we have the expression as,
\[\Rightarrow \dfrac{x}{10}\times 6=27\]
We will now take the denominator to the other side of the equality and we get the expression as,
\[\Rightarrow 6x=270\]
Now, we will write the above expression in terms of \[x\] alone, and we get the expression as,
\[\Rightarrow x=\dfrac{270}{6}\]
Reducing the fraction by dividing the numerator and the denominator by 3, we get,
\[\Rightarrow x=\dfrac{90}{2}\]
We now get the value of \[x\] as,
\[\Rightarrow x=45\]

Therefore, \[45\%\] of 60 is 27.

Note: The obtained value can be confirmed whether if it is correct or not by substituting it back in the first expression that we wrote in the above solution, that is,
\[x\%\times 60\], here \[x=45\] we get,
\[\Rightarrow \dfrac{45}{100}\times 60\]
\[\Rightarrow \dfrac{45}{10}\times 6\]
\[\Rightarrow \dfrac{45}{5}\times 3\]
\[\Rightarrow 9\times 3=27\]
Therefore, \[x=45\] is correct.
Also, the percent part of the expression in the above solution should be carefully written and computed.