35 is what percent of 3638 - 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 3638 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 3638, so we can write it down as 100%=3638.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=3638
2) x%=35
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%=3638/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 3638

100%/x%=3638/35
(100/x)*x=(3638/35)*x       - we multiply both sides of the equation by x
100=103.94285714286*x       - we divide both sides of the equation by (103.94285714286) to get x
100/103.94285714286=x
0.96206706981858=x
x=0.96206706981858

now we have:
35 is 0.96206706981858% of 3638