11.51 is what percent of 18.689 - 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 18.689 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 18.689, so we can write it down as 100%=18.689.
4. We know, that x% equals 11.51 of the output value, so we can write it down as x%=11.51.
5. Now we have two simple equations:
1) 100%=18.689
2) x%=11.51
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%=18.689/11.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.51 is what percent of 18.689

100%/x%=18.689/11.51
(100/x)*x=(18.689/11.51)*x       - we multiply both sides of the equation by x
100=1.6237185056473*x       - we divide both sides of the equation by (1.6237185056473) to get x
100/1.6237185056473=x
61.587029803628=x
x=61.587029803628

now we have:
11.51 is 61.587029803628% of 18.689