Question

What percent of 300 is 0.6?

Answer 1

Hint: First we will assume that x percent of 300 is 0.6. Then we will solve the expression by using the concept of percentage that is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$. Substituting the values and simplifying the obtained equation we will get the desired answer.

Complete step by step solution:
We have to find out what percentage of 300 is 0.6.
Let us assume that x percent of 300 is 0.6.
Now, we know that the basic rule of percentage is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$.
To solve the percentage the word ‘of’ represents the multiplication so always replace the word ‘of’ by multiplication and the word ’is’ represents the sign equal “$=$”. So we can write the given expression as
\[\Rightarrow x\%\times 300=0.6\]
Now, we know that one percent is the part of hundred percent. Then simplifying the above obtained equation we will get
\[\Rightarrow \dfrac{x}{100}=\dfrac{0.6}{300}\]
Now, simplifying the above obtained equation we will get
\[\Rightarrow x=0.2\%\]
Hence we get $0.2\%$ of 300 is 0.6.

Note: Alternatively we can also solve the question by using the concept of proportion. For this we need to take the proportion between the two quantities and compare the part to the whole. Simplifying the obtained proportion we will get the desired answer. The point to be remembered is that in this particular question we need to convert the obtained answer into percentage because we have asked to find the percentage.