11.94 is what percent of 115.44 - 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 115.44 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 115.44, so we can write it down as 100%=115.44.
4. We know, that x% equals 11.94 of the output value, so we can write it down as x%=11.94.
5. Now we have two simple equations:
1) 100%=115.44
2) x%=11.94
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%=115.44/11.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.94 is what percent of 115.44

100%/x%=115.44/11.94
(100/x)*x=(115.44/11.94)*x       - we multiply both sides of the equation by x
100=9.6683417085427*x       - we divide both sides of the equation by (9.6683417085427) to get x
100/9.6683417085427=x
10.343035343035=x
x=10.343035343035

now we have:
11.94 is 10.343035343035% of 115.44