617.65 is what percent of 1596.71 - 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 1596.71 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 1596.71, so we can write it down as 100%=1596.71.
4. We know, that x% equals 617.65 of the output value, so we can write it down as x%=617.65.
5. Now we have two simple equations:
1) 100%=1596.71
2) x%=617.65
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%=1596.71/617.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 617.65 is what percent of 1596.71

100%/x%=1596.71/617.65
(100/x)*x=(1596.71/617.65)*x       - we multiply both sides of the equation by x
100=2.5851372136323*x       - we divide both sides of the equation by (2.5851372136323) to get x
100/2.5851372136323=x
38.68266623244=x
x=38.68266623244

now we have:
617.65 is 38.68266623244% of 1596.71