11.85 is what percent of 11.71 - 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 11.71 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 11.71, so we can write it down as 100%=11.71.
4. We know, that x% equals 11.85 of the output value, so we can write it down as x%=11.85.
5. Now we have two simple equations:
1) 100%=11.71
2) x%=11.85
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%=11.71/11.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.85 is what percent of 11.71

100%/x%=11.71/11.85
(100/x)*x=(11.71/11.85)*x       - we multiply both sides of the equation by x
100=0.98818565400844*x       - we divide both sides of the equation by (0.98818565400844) to get x
100/0.98818565400844=x
101.19555935098=x
x=101.19555935098

now we have:
11.85 is 101.19555935098% of 11.71