625.35 is what percent of 3595.5 - 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 3595.5 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 3595.5, so we can write it down as 100%=3595.5.
4. We know, that x% equals 625.35 of the output value, so we can write it down as x%=625.35.
5. Now we have two simple equations:
1) 100%=3595.5
2) x%=625.35
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%=3595.5/625.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 625.35 is what percent of 3595.5

100%/x%=3595.5/625.35
(100/x)*x=(3595.5/625.35)*x       - we multiply both sides of the equation by x
100=5.7495802350684*x       - we divide both sides of the equation by (5.7495802350684) to get x
100/5.7495802350684=x
17.392574050897=x
x=17.392574050897

now we have:
625.35 is 17.392574050897% of 3595.5