113.1 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 113.1 of the output value, so we can write it down as x%=113.1.
5. Now we have two simple equations:
1) 100%=131
2) x%=113.1
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%=131/113.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.1 is what percent of 131

100%/x%=131/113.1
(100/x)*x=(131/113.1)*x       - we multiply both sides of the equation by x
100=1.158267020336*x       - we divide both sides of the equation by (1.158267020336) to get x
100/1.158267020336=x
86.335877862595=x
x=86.335877862595

now we have:
113.1 is 86.335877862595% of 131