585.64 is what percent of 6785.64 - 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 6785.64 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 6785.64, so we can write it down as 100%=6785.64.
4. We know, that x% equals 585.64 of the output value, so we can write it down as x%=585.64.
5. Now we have two simple equations:
1) 100%=6785.64
2) x%=585.64
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%=6785.64/585.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 585.64 is what percent of 6785.64

100%/x%=6785.64/585.64
(100/x)*x=(6785.64/585.64)*x       - we multiply both sides of the equation by x
100=11.586708558159*x       - we divide both sides of the equation by (11.586708558159) to get x
100/11.586708558159=x
8.6305786926509=x
x=8.6305786926509

now we have:
585.64 is 8.6305786926509% of 6785.64