13 is what percent of 3535 - 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 3535 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 3535, so we can write it down as 100%=3535.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=3535
2) x%=13
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%=3535/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 3535

100%/x%=3535/13
(100/x)*x=(3535/13)*x       - we multiply both sides of the equation by x
100=271.92307692308*x       - we divide both sides of the equation by (271.92307692308) to get x
100/271.92307692308=x
0.36775106082037=x
x=0.36775106082037

now we have:
13 is 0.36775106082037% of 3535