What is 26.4 percent of 90.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 90.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 90.9 is 100%, so we can write it down as 90.9=100%.
4. We know, that x is 26.4% of the output value, so we can write it down as x=26.4%.
5. Now we have two simple equations:
1) 90.9=100%
2) x=26.4%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
90.9/x=100%/26.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.4% of 90.9

90.9/x=100/26.4
(90.9/x)*x=(100/26.4)*x       - we multiply both sides of the equation by x
90.9=3.7878787878788*x       - we divide both sides of the equation by (3.7878787878788) to get x
90.9/3.7878787878788=x
23.9976=x
x=23.9976

now we have:
26.4% of 90.9=23.9976