11.92 is what percent of 15.345 - 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 15.345 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 15.345, so we can write it down as 100%=15.345.
4. We know, that x% equals 11.92 of the output value, so we can write it down as x%=11.92.
5. Now we have two simple equations:
1) 100%=15.345
2) x%=11.92
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%=15.345/11.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.92 is what percent of 15.345

100%/x%=15.345/11.92
(100/x)*x=(15.345/11.92)*x       - we multiply both sides of the equation by x
100=1.2873322147651*x       - we divide both sides of the equation by (1.2873322147651) to get x
100/1.2873322147651=x
77.680026067123=x
x=77.680026067123

now we have:
11.92 is 77.680026067123% of 15.345