115.59 is what percent of 353.23 - 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 353.23 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 353.23, so we can write it down as 100%=353.23.
4. We know, that x% equals 115.59 of the output value, so we can write it down as x%=115.59.
5. Now we have two simple equations:
1) 100%=353.23
2) x%=115.59
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%=353.23/115.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.59 is what percent of 353.23

100%/x%=353.23/115.59
(100/x)*x=(353.23/115.59)*x       - we multiply both sides of the equation by x
100=3.055887187473*x       - we divide both sides of the equation by (3.055887187473) to get x
100/3.055887187473=x
32.723721088243=x
x=32.723721088243

now we have:
115.59 is 32.723721088243% of 353.23