136.32 is what percent of 342.5 - 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 342.5 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 342.5, so we can write it down as 100%=342.5.
4. We know, that x% equals 136.32 of the output value, so we can write it down as x%=136.32.
5. Now we have two simple equations:
1) 100%=342.5
2) x%=136.32
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%=342.5/136.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.32 is what percent of 342.5

100%/x%=342.5/136.32
(100/x)*x=(342.5/136.32)*x       - we multiply both sides of the equation by x
100=2.512470657277*x       - we divide both sides of the equation by (2.512470657277) to get x
100/2.512470657277=x
39.801459854015=x
x=39.801459854015

now we have:
136.32 is 39.801459854015% of 342.5