33.72 is what percent of 1012.5 - 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 1012.5 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 1012.5, so we can write it down as 100%=1012.5.
4. We know, that x% equals 33.72 of the output value, so we can write it down as x%=33.72.
5. Now we have two simple equations:
1) 100%=1012.5
2) x%=33.72
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%=1012.5/33.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.72 is what percent of 1012.5

100%/x%=1012.5/33.72
(100/x)*x=(1012.5/33.72)*x       - we multiply both sides of the equation by x
100=30.026690391459*x       - we divide both sides of the equation by (30.026690391459) to get x
100/30.026690391459=x
3.3303703703704=x
x=3.3303703703704

now we have:
33.72 is 3.3303703703704% of 1012.5