609.96 is what percent of 7098.18 - 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 7098.18 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 7098.18, so we can write it down as 100%=7098.18.
4. We know, that x% equals 609.96 of the output value, so we can write it down as x%=609.96.
5. Now we have two simple equations:
1) 100%=7098.18
2) x%=609.96
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%=7098.18/609.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 609.96 is what percent of 7098.18

100%/x%=7098.18/609.96
(100/x)*x=(7098.18/609.96)*x       - we multiply both sides of the equation by x
100=11.6371237458*x       - we divide both sides of the equation by (11.6371237458) to get x
100/11.6371237458=x
8.59318867653=x
x=8.59318867653

now we have:
609.96 is 8.59318867653% of 7098.18