136.75 is what percent of 162 - 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 162 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 162, so we can write it down as 100%=162.
4. We know, that x% equals 136.75 of the output value, so we can write it down as x%=136.75.
5. Now we have two simple equations:
1) 100%=162
2) x%=136.75
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%=162/136.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.75 is what percent of 162

100%/x%=162/136.75
(100/x)*x=(162/136.75)*x       - we multiply both sides of the equation by x
100=1.1846435100548*x       - we divide both sides of the equation by (1.1846435100548) to get x
100/1.1846435100548=x
84.413580246914=x
x=84.413580246914

now we have:
136.75 is 84.413580246914% of 162