589.9 is what percent of 864.5 - 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 864.5 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 864.5, so we can write it down as 100%=864.5.
4. We know, that x% equals 589.9 of the output value, so we can write it down as x%=589.9.
5. Now we have two simple equations:
1) 100%=864.5
2) x%=589.9
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%=864.5/589.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.9 is what percent of 864.5

100%/x%=864.5/589.9
(100/x)*x=(864.5/589.9)*x       - we multiply both sides of the equation by x
100=1.465502627564*x       - we divide both sides of the equation by (1.465502627564) to get x
100/1.465502627564=x
68.235974551764=x
x=68.235974551764

now we have:
589.9 is 68.235974551764% of 864.5