589.69 is what percent of 1399.11 - 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 1399.11 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 1399.11, so we can write it down as 100%=1399.11.
4. We know, that x% equals 589.69 of the output value, so we can write it down as x%=589.69.
5. Now we have two simple equations:
1) 100%=1399.11
2) x%=589.69
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%=1399.11/589.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.69 is what percent of 1399.11

100%/x%=1399.11/589.69
(100/x)*x=(1399.11/589.69)*x       - we multiply both sides of the equation by x
100=2.372619511947*x       - we divide both sides of the equation by (2.372619511947) to get x
100/2.372619511947=x
42.147508058694=x
x=42.147508058694

now we have:
589.69 is 42.147508058694% of 1399.11