117.44 is what percent of 636 - 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 636 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 636, so we can write it down as 100%=636.
4. We know, that x% equals 117.44 of the output value, so we can write it down as x%=117.44.
5. Now we have two simple equations:
1) 100%=636
2) x%=117.44
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%=636/117.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.44 is what percent of 636

100%/x%=636/117.44
(100/x)*x=(636/117.44)*x       - we multiply both sides of the equation by x
100=5.4155313351499*x       - we divide both sides of the equation by (5.4155313351499) to get x
100/5.4155313351499=x
18.465408805031=x
x=18.465408805031

now we have:
117.44 is 18.465408805031% of 636