589.97 is what percent of 3675.26 - 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 3675.26 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 3675.26, so we can write it down as 100%=3675.26.
4. We know, that x% equals 589.97 of the output value, so we can write it down as x%=589.97.
5. Now we have two simple equations:
1) 100%=3675.26
2) x%=589.97
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%=3675.26/589.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.97 is what percent of 3675.26

100%/x%=3675.26/589.97
(100/x)*x=(3675.26/589.97)*x       - we multiply both sides of the equation by x
100=6.2295709951353*x       - we divide both sides of the equation by (6.2295709951353) to get x
100/6.2295709951353=x
16.052469757242=x
x=16.052469757242

now we have:
589.97 is 16.052469757242% of 3675.26