26.2 is what percent of 58.4 - 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 58.4 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 100% equals 58.4, so we can write it down as 100%=58.4.
4. We know, that x% equals 26.2 of the output value, so we can write it down as x%=26.2.
5. Now we have two simple equations:
1) 100%=58.4
2) x%=26.2
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:
100%/x%=58.4/26.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.2 is what percent of 58.4

100%/x%=58.4/26.2
(100/x)*x=(58.4/26.2)*x       - we multiply both sides of the equation by x
100=2.2290076335878*x       - we divide both sides of the equation by (2.2290076335878) to get x
100/2.2290076335878=x
44.86301369863=x
x=44.86301369863

now we have:
26.2 is 44.86301369863% of 58.4