136.68 is what percent of 359.12 - 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 359.12 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 359.12, so we can write it down as 100%=359.12.
4. We know, that x% equals 136.68 of the output value, so we can write it down as x%=136.68.
5. Now we have two simple equations:
1) 100%=359.12
2) x%=136.68
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%=359.12/136.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.68 is what percent of 359.12

100%/x%=359.12/136.68
(100/x)*x=(359.12/136.68)*x       - we multiply both sides of the equation by x
100=2.6274509803922*x       - we divide both sides of the equation by (2.6274509803922) to get x
100/2.6274509803922=x
38.059701492537=x
x=38.059701492537

now we have:
136.68 is 38.059701492537% of 359.12