Question

if 26% of a number is 65, than find the number​

Answer 1

To find : number .

Given : $26\ \%$ of a number is $65$ .

Solution :

• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.

• It is denoted by means % .

• We are using the unitary method to calculate the percentage of numbers.

• Fractions can be converted into percentages and vice-versa.

• Percentages are reversible.  
• Let the number be $x$.

         $\begin{array}{l}26 \% \text { of } x = 65 \\\frac{26}{100} \times x = 65 \\x =\frac{65\times100 }{26} \\= 250\end{array}$

Hence, the number is $250$.

Answer 2

• As per the data given in the question, we have to determine the required number.

Given data:- $26\%$ of a number is $65.$

To find:- The value of $x.$

Solution:-

• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.  

• We are using the unitary method to calculate the percentage of numbers.

• Fractions can be converted into percentages and vice-versa.

       Therefore,

         Let $x,$

        $\begin{array}{l}26 \% \text { of } x=65 \\\Rightarrow \frac{26}{100} \times x=65 \\\Rightarrow x=\left(65 \times \frac{100}{26}\right)=250\end{array}$

Hence we will get the value of $x=250.$