589.92 is what percent of 688.24 - 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 688.24 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 688.24, so we can write it down as 100%=688.24.
4. We know, that x% equals 589.92 of the output value, so we can write it down as x%=589.92.
5. Now we have two simple equations:
1) 100%=688.24
2) x%=589.92
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%=688.24/589.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.92 is what percent of 688.24

100%/x%=688.24/589.92
(100/x)*x=(688.24/589.92)*x       - we multiply both sides of the equation by x
100=1.1666666666667*x       - we divide both sides of the equation by (1.1666666666667) to get x
100/1.1666666666667=x
85.714285714286=x
x=85.714285714286

now we have:
589.92 is 85.714285714286% of 688.24