11.17 is what percent of 18.17 - 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 18.17 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 18.17, so we can write it down as 100%=18.17.
4. We know, that x% equals 11.17 of the output value, so we can write it down as x%=11.17.
5. Now we have two simple equations:
1) 100%=18.17
2) x%=11.17
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%=18.17/11.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.17 is what percent of 18.17

100%/x%=18.17/11.17
(100/x)*x=(18.17/11.17)*x       - we multiply both sides of the equation by x
100=1.626678603402*x       - we divide both sides of the equation by (1.626678603402) to get x
100/1.626678603402=x
61.47495872317=x
x=61.47495872317

now we have:
11.17 is 61.47495872317% of 18.17