116.2 is what percent of 581.83 - 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 581.83 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 581.83, so we can write it down as 100%=581.83.
4. We know, that x% equals 116.2 of the output value, so we can write it down as x%=116.2.
5. Now we have two simple equations:
1) 100%=581.83
2) x%=116.2
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%=581.83/116.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.2 is what percent of 581.83

100%/x%=581.83/116.2
(100/x)*x=(581.83/116.2)*x       - we multiply both sides of the equation by x
100=5.0071428571429*x       - we divide both sides of the equation by (5.0071428571429) to get x
100/5.0071428571429=x
19.971469329529=x
x=19.971469329529

now we have:
116.2 is 19.971469329529% of 581.83