10.92 is what percent of 13.1 - 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 13.1 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 13.1, so we can write it down as 100%=13.1.
4. We know, that x% equals 10.92 of the output value, so we can write it down as x%=10.92.
5. Now we have two simple equations:
1) 100%=13.1
2) x%=10.92
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%=13.1/10.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.92 is what percent of 13.1

100%/x%=13.1/10.92
(100/x)*x=(13.1/10.92)*x       - we multiply both sides of the equation by x
100=1.1996336996337*x       - we divide both sides of the equation by (1.1996336996337) to get x
100/1.1996336996337=x
83.358778625954=x
x=83.358778625954

now we have:
10.92 is 83.358778625954% of 13.1