132.09 is what percent of 352.23 - 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 352.23 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 352.23, so we can write it down as 100%=352.23.
4. We know, that x% equals 132.09 of the output value, so we can write it down as x%=132.09.
5. Now we have two simple equations:
1) 100%=352.23
2) x%=132.09
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%=352.23/132.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.09 is what percent of 352.23

100%/x%=352.23/132.09
(100/x)*x=(352.23/132.09)*x       - we multiply both sides of the equation by x
100=2.6665909607086*x       - we divide both sides of the equation by (2.6665909607086) to get x
100/2.6665909607086=x
37.50106464526=x
x=37.50106464526

now we have:
132.09 is 37.50106464526% of 352.23