567.17 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 567.17 of the output value, so we can write it down as x%=567.17.
5. Now we have two simple equations:
1) 100%=636
2) x%=567.17
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%=636/567.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.17 is what percent of 636

100%/x%=636/567.17
(100/x)*x=(636/567.17)*x       - we multiply both sides of the equation by x
100=1.1213569123896*x       - we divide both sides of the equation by (1.1213569123896) to get x
100/1.1213569123896=x
89.177672955975=x
x=89.177672955975

now we have:
567.17 is 89.177672955975% of 636