18.11 is what percent of 10.18 - 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 10.18 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 10.18, so we can write it down as 100%=10.18.
4. We know, that x% equals 18.11 of the output value, so we can write it down as x%=18.11.
5. Now we have two simple equations:
1) 100%=10.18
2) x%=18.11
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%=10.18/18.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.11 is what percent of 10.18

100%/x%=10.18/18.11
(100/x)*x=(10.18/18.11)*x       - we multiply both sides of the equation by x
100=0.56212037548316*x       - we divide both sides of the equation by (0.56212037548316) to get x
100/0.56212037548316=x
177.8978388998=x
x=177.8978388998

now we have:
18.11 is 177.8978388998% of 10.18