384.58 is what percent of 6710.63 - 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 6710.63 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 6710.63, so we can write it down as 100%=6710.63.
4. We know, that x% equals 384.58 of the output value, so we can write it down as x%=384.58.
5. Now we have two simple equations:
1) 100%=6710.63
2) x%=384.58
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%=6710.63/384.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.58 is what percent of 6710.63

100%/x%=6710.63/384.58
(100/x)*x=(6710.63/384.58)*x       - we multiply both sides of the equation by x
100=17.449243330386*x       - we divide both sides of the equation by (17.449243330386) to get x
100/17.449243330386=x
5.7309075302915=x
x=5.7309075302915

now we have:
384.58 is 5.7309075302915% of 6710.63