129.36 is what percent of 358.06 - 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 358.06 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 358.06, so we can write it down as 100%=358.06.
4. We know, that x% equals 129.36 of the output value, so we can write it down as x%=129.36.
5. Now we have two simple equations:
1) 100%=358.06
2) x%=129.36
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%=358.06/129.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.36 is what percent of 358.06

100%/x%=358.06/129.36
(100/x)*x=(358.06/129.36)*x       - we multiply both sides of the equation by x
100=2.7679344465059*x       - we divide both sides of the equation by (2.7679344465059) to get x
100/2.7679344465059=x
36.128023236329=x
x=36.128023236329

now we have:
129.36 is 36.128023236329% of 358.06