5498.23 is what percent of 8585 - 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 8585 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 8585, so we can write it down as 100%=8585.
4. We know, that x% equals 5498.23 of the output value, so we can write it down as x%=5498.23.
5. Now we have two simple equations:
1) 100%=8585
2) x%=5498.23
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%=8585/5498.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5498.23 is what percent of 8585

100%/x%=8585/5498.23
(100/x)*x=(8585/5498.23)*x       - we multiply both sides of the equation by x
100=1.5614115815453*x       - we divide both sides of the equation by (1.5614115815453) to get x
100/1.5614115815453=x
64.044612696564=x
x=64.044612696564

now we have:
5498.23 is 64.044612696564% of 8585