112.9 is what percent of 131 - 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 131 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 131, so we can write it down as 100%=131.
4. We know, that x% equals 112.9 of the output value, so we can write it down as x%=112.9.
5. Now we have two simple equations:
1) 100%=131
2) x%=112.9
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%=131/112.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.9 is what percent of 131

100%/x%=131/112.9
(100/x)*x=(131/112.9)*x       - we multiply both sides of the equation by x
100=1.1603188662533*x       - we divide both sides of the equation by (1.1603188662533) to get x
100/1.1603188662533=x
86.18320610687=x
x=86.18320610687

now we have:
112.9 is 86.18320610687% of 131