36.99 is what percent of 112.85 - 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 112.85 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 112.85, so we can write it down as 100%=112.85.
4. We know, that x% equals 36.99 of the output value, so we can write it down as x%=36.99.
5. Now we have two simple equations:
1) 100%=112.85
2) x%=36.99
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%=112.85/36.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.99 is what percent of 112.85

100%/x%=112.85/36.99
(100/x)*x=(112.85/36.99)*x       - we multiply both sides of the equation by x
100=3.0508245471749*x       - we divide both sides of the equation by (3.0508245471749) to get x
100/3.0508245471749=x
32.778023925565=x
x=32.778023925565

now we have:
36.99 is 32.778023925565% of 112.85