11.9 is what percent of 94.13 - 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 94.13 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 94.13, so we can write it down as 100%=94.13.
4. We know, that x% equals 11.9 of the output value, so we can write it down as x%=11.9.
5. Now we have two simple equations:
1) 100%=94.13
2) x%=11.9
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%=94.13/11.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.9 is what percent of 94.13

100%/x%=94.13/11.9
(100/x)*x=(94.13/11.9)*x       - we multiply both sides of the equation by x
100=7.9100840336134*x       - we divide both sides of the equation by (7.9100840336134) to get x
100/7.9100840336134=x
12.642090725592=x
x=12.642090725592

now we have:
11.9 is 12.642090725592% of 94.13