18.11 is what percent of 17.25 - 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 17.25 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 17.25, so we can write it down as 100%=17.25.
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%=17.25
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%=17.25/18.11
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 17.25

100%/x%=17.25/18.11
(100/x)*x=(17.25/18.11)*x       - we multiply both sides of the equation by x
100=0.9525124240751*x       - we divide both sides of the equation by (0.9525124240751) to get x
100/0.9525124240751=x
104.98550724638=x
x=104.98550724638

now we have:
18.11 is 104.98550724638% of 17.25