116.02 is what percent of 142 - 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 142 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 142, so we can write it down as 100%=142.
4. We know, that x% equals 116.02 of the output value, so we can write it down as x%=116.02.
5. Now we have two simple equations:
1) 100%=142
2) x%=116.02
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%=142/116.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.02 is what percent of 142

100%/x%=142/116.02
(100/x)*x=(142/116.02)*x       - we multiply both sides of the equation by x
100=1.2239269091536*x       - we divide both sides of the equation by (1.2239269091536) to get x
100/1.2239269091536=x
81.704225352113=x
x=81.704225352113

now we have:
116.02 is 81.704225352113% of 142