1615.5 is what percent of 4137 - 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 4137 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 4137, so we can write it down as 100%=4137.
4. We know, that x% equals 1615.5 of the output value, so we can write it down as x%=1615.5.
5. Now we have two simple equations:
1) 100%=4137
2) x%=1615.5
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%=4137/1615.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1615.5 is what percent of 4137

100%/x%=4137/1615.5
(100/x)*x=(4137/1615.5)*x       - we multiply both sides of the equation by x
100=2.560817084494*x       - we divide both sides of the equation by (2.560817084494) to get x
100/2.560817084494=x
39.050036258158=x
x=39.050036258158

now we have:
1615.5 is 39.050036258158% of 4137