35.9 is what percent of 112.95 - 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 112.95 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 112.95, so we can write it down as 100%=112.95.
4. We know, that x% equals 35.9 of the output value, so we can write it down as x%=35.9.
5. Now we have two simple equations:
1) 100%=112.95
2) x%=35.9
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%=112.95/35.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.9 is what percent of 112.95

100%/x%=112.95/35.9
(100/x)*x=(112.95/35.9)*x       - we multiply both sides of the equation by x
100=3.1462395543175*x       - we divide both sides of the equation by (3.1462395543175) to get x
100/3.1462395543175=x
31.78397521027=x
x=31.78397521027

now we have:
35.9 is 31.78397521027% of 112.95