589.39 is what percent of 10869.32 - 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 10869.32 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 10869.32, so we can write it down as 100%=10869.32.
4. We know, that x% equals 589.39 of the output value, so we can write it down as x%=589.39.
5. Now we have two simple equations:
1) 100%=10869.32
2) x%=589.39
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%=10869.32/589.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.39 is what percent of 10869.32

100%/x%=10869.32/589.39
(100/x)*x=(10869.32/589.39)*x       - we multiply both sides of the equation by x
100=18.441643054684*x       - we divide both sides of the equation by (18.441643054684) to get x
100/18.441643054684=x
5.4225103318331=x
x=5.4225103318331

now we have:
589.39 is 5.4225103318331% of 10869.32