38565.43 is what percent of 702993.6 - 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 702993.6 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 702993.6, so we can write it down as 100%=702993.6.
4. We know, that x% equals 38565.43 of the output value, so we can write it down as x%=38565.43.
5. Now we have two simple equations:
1) 100%=702993.6
2) x%=38565.43
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%=702993.6/38565.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38565.43 is what percent of 702993.6

100%/x%=702993.6/38565.43
(100/x)*x=(702993.6/38565.43)*x       - we multiply both sides of the equation by x
100=18.228594884071*x       - we divide both sides of the equation by (18.228594884071) to get x
100/18.228594884071=x
5.4858863579981=x
x=5.4858863579981

now we have:
38565.43 is 5.4858863579981% of 702993.6