698.52 is what percent of 4117.02 - 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 4117.02 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 4117.02, so we can write it down as 100%=4117.02.
4. We know, that x% equals 698.52 of the output value, so we can write it down as x%=698.52.
5. Now we have two simple equations:
1) 100%=4117.02
2) x%=698.52
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%=4117.02/698.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 698.52 is what percent of 4117.02

100%/x%=4117.02/698.52
(100/x)*x=(4117.02/698.52)*x       - we multiply both sides of the equation by x
100=5.8939185706923*x       - we divide both sides of the equation by (5.8939185706923) to get x
100/5.8939185706923=x
16.966640919889=x
x=16.966640919889

now we have:
698.52 is 16.966640919889% of 4117.02