9.92 is what percent of 11.811 - 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 11.811 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 11.811, so we can write it down as 100%=11.811.
4. We know, that x% equals 9.92 of the output value, so we can write it down as x%=9.92.
5. Now we have two simple equations:
1) 100%=11.811
2) x%=9.92
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%=11.811/9.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.92 is what percent of 11.811

100%/x%=11.811/9.92
(100/x)*x=(11.811/9.92)*x       - we multiply both sides of the equation by x
100=1.190625*x       - we divide both sides of the equation by (1.190625) to get x
100/1.190625=x
83.989501312336=x
x=83.989501312336

now we have:
9.92 is 83.989501312336% of 11.811