10.92 is what percent of 12.38 - 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 12.38 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 12.38, so we can write it down as 100%=12.38.
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%=12.38
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%=12.38/10.92
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 12.38

100%/x%=12.38/10.92
(100/x)*x=(12.38/10.92)*x       - we multiply both sides of the equation by x
100=1.1336996336996*x       - we divide both sides of the equation by (1.1336996336996) to get x
100/1.1336996336996=x
88.206785137318=x
x=88.206785137318

now we have:
10.92 is 88.206785137318% of 12.38