582.97 is what percent of 3209.99 - 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 3209.99 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 3209.99, so we can write it down as 100%=3209.99.
4. We know, that x% equals 582.97 of the output value, so we can write it down as x%=582.97.
5. Now we have two simple equations:
1) 100%=3209.99
2) x%=582.97
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%=3209.99/582.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 582.97 is what percent of 3209.99

100%/x%=3209.99/582.97
(100/x)*x=(3209.99/582.97)*x       - we multiply both sides of the equation by x
100=5.5062696193629*x       - we divide both sides of the equation by (5.5062696193629) to get x
100/5.5062696193629=x
18.161115766716=x
x=18.161115766716

now we have:
582.97 is 18.161115766716% of 3209.99