Question

What is $26\% $ of $160$ ?

Answer 1

Hint: Here we are going to make a given $26\% $ as a fraction like this $\dfrac{{26}}{{100}}$ and then find the percent of $160$. In this , step by step answer we will show how to find the percentage really easily.

Complete step-by-step solution:
When we are using percentages, what we are really saying is that the percentage is a fraction of $100$.
“percent” means per hundred, and so $26\% $ is the same as saying $\dfrac{{26}}{{100}}$ or $\dfrac{{13}}{{50}}$ in fraction form.
The purpose of this problem is to determine what $26\% $ of $160$ is.
In this case, the number that we are comparing to $100$ is $160$ , so we must first normalize the number by dividing it by $100$. The operation we have to solve is this, we get,
$ \Rightarrow \dfrac{{160}}{{100}} = \dfrac{{16}}{{10}} = 1.6$
Now that we have our normalized number, $1.6$ , we just have to multiply it by $26$ to get our final answer. The formula for this is obviously quite simple, we get,
$ \Rightarrow 1.6 \times 26 = 41.6$

Note: Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.
Simple method for solving this problem like this,
Convert the problem to an equation using the percentage formula $P\% \times X = Y$
$P$ is $26\% $ , $X$ is $160$ , so the equation is $26\% \times 160 = Y$
Convert $26\% $to a decimal by removing the percent sign and dividing by $100$ , $\dfrac{{26}}{{100}} = 0.26$
Substitute $0.26$ for $26\% $ in the equation $26\% \times 160 = Y$ becomes $0.26 \times 160 = Y$
On simplifying it we get, $0.26 \times 160 = 41.6$ therefore $Y = 41.6$ , so $26\% $ of $160$ is $41.6$.