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# What percent of 42 is 29.4?

Last updated date: 15th Sep 2024
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Hint: We here have been given the number 42 and asked what percentage of 42 is 29.4. For this, we will assume the percentage to be x%. Then we will use the formula given as follows:
Any percentage, ‘P%’ of any number N, is given as:
$R=N\times \dfrac{P}{100}$
Where R is the resultant percent of N.
After that, we will put all the given values in this formula as a result of which we will get an equation in terms of ‘x’. Then, we will solve that equation and hence get our answer.

Here, we have been given the number and we have been asked what percent of this number, i.e. 42 is 29.4.
Now, let us assume that the required percentage is ‘x%’.
Hence, x percent of 42 is equal to 29.4.
Now, we know that when we have been given a principal number, let us assume it to be ‘N’, any percent of that number, let us assume that percentage to be ‘P%’, is given as:
$R=N\times \dfrac{P}{100}$ …..(i)
Where R is the resultant percent of N.
Now, according to this question, we have:
N=42
P=x
R=29.4
Now, if we put all these values of N, P and R in equation (i), we can get an equation in terms of ‘x’ and we can solve it for ‘x’, hence obtain its value.
Hence, putting the values of N,P and R in equation (i) we get:
\begin{align} & R=N\times \dfrac{P}{100} \\ & \Rightarrow 29.4=42\times \dfrac{x}{100} \\ \end{align}
Now, solving this equation to obtain the value of ‘x’, we get:
\begin{align} & 29.4=42\times \dfrac{x}{100} \\ & \Rightarrow \left( 29.4 \right)\left( 100 \right)=42x \\ & \Rightarrow 2940=42x \\ & \Rightarrow x=\dfrac{2940}{42} \\ & \therefore x=70 \\ \end{align}

Hence, the required percentage is 70%.

Note: We have here used the formula $R=N\times \dfrac{P}{100}$. This is obtained as follows:
Now, the meaning of percentage is the amount of something in each ${{100}^{th}}$ of its part. Hence, if we have been given P of a number N is R, it means that R is the ${\dfrac{P}{100}}^{th}$ fraction of that number.
Hence, we get:
$R=N\times \dfrac{P}{100}$