132.5 is what percent of 712.5 - 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 712.5 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 712.5, so we can write it down as 100%=712.5.
4. We know, that x% equals 132.5 of the output value, so we can write it down as x%=132.5.
5. Now we have two simple equations:
1) 100%=712.5
2) x%=132.5
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%=712.5/132.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.5 is what percent of 712.5

100%/x%=712.5/132.5
(100/x)*x=(712.5/132.5)*x       - we multiply both sides of the equation by x
100=5.377358490566*x       - we divide both sides of the equation by (5.377358490566) to get x
100/5.377358490566=x
18.59649122807=x
x=18.59649122807

now we have:
132.5 is 18.59649122807% of 712.5