578.29 is what percent of 16820.13 - 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 16820.13 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 16820.13, so we can write it down as 100%=16820.13.
4. We know, that x% equals 578.29 of the output value, so we can write it down as x%=578.29.
5. Now we have two simple equations:
1) 100%=16820.13
2) x%=578.29
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%=16820.13/578.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 578.29 is what percent of 16820.13

100%/x%=16820.13/578.29
(100/x)*x=(16820.13/578.29)*x       - we multiply both sides of the equation by x
100=29.085977623684*x       - we divide both sides of the equation by (29.085977623684) to get x
100/29.085977623684=x
3.4380828210008=x
x=3.4380828210008

now we have:
578.29 is 3.4380828210008% of 16820.13