11.78 is what percent of 27.85 - 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 27.85 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 27.85, so we can write it down as 100%=27.85.
4. We know, that x% equals 11.78 of the output value, so we can write it down as x%=11.78.
5. Now we have two simple equations:
1) 100%=27.85
2) x%=11.78
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%=27.85/11.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.78 is what percent of 27.85

100%/x%=27.85/11.78
(100/x)*x=(27.85/11.78)*x       - we multiply both sides of the equation by x
100=2.3641765704584*x       - we divide both sides of the equation by (2.3641765704584) to get x
100/2.3641765704584=x
42.29802513465=x
x=42.29802513465

now we have:
11.78 is 42.29802513465% of 27.85