435.23 is what percent of 8704.57 - 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 8704.57 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 8704.57, so we can write it down as 100%=8704.57.
4. We know, that x% equals 435.23 of the output value, so we can write it down as x%=435.23.
5. Now we have two simple equations:
1) 100%=8704.57
2) x%=435.23
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%=8704.57/435.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 435.23 is what percent of 8704.57

100%/x%=8704.57/435.23
(100/x)*x=(8704.57/435.23)*x       - we multiply both sides of the equation by x
100=19.999931070928*x       - we divide both sides of the equation by (19.999931070928) to get x
100/19.999931070928=x
5.0000172323274=x
x=5.0000172323274

now we have:
435.23 is 5.0000172323274% of 8704.57