125.66 is what percent of 329.6 - 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 329.6 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 329.6, so we can write it down as 100%=329.6.
4. We know, that x% equals 125.66 of the output value, so we can write it down as x%=125.66.
5. Now we have two simple equations:
1) 100%=329.6
2) x%=125.66
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%=329.6/125.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.66 is what percent of 329.6

100%/x%=329.6/125.66
(100/x)*x=(329.6/125.66)*x       - we multiply both sides of the equation by x
100=2.6229508196721*x       - we divide both sides of the equation by (2.6229508196721) to get x
100/2.6229508196721=x
38.125=x
x=38.125

now we have:
125.66 is 38.125% of 329.6