92 is what percent of 11.57 - 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 11.57 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 11.57, so we can write it down as 100%=11.57.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=11.57
2) x%=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%=11.57/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 11.57

100%/x%=11.57/92
(100/x)*x=(11.57/92)*x       - we multiply both sides of the equation by x
100=0.12576086956522*x       - we divide both sides of the equation by (0.12576086956522) to get x
100/0.12576086956522=x
795.15989628349=x
x=795.15989628349

now we have:
92 is 795.15989628349% of 11.57