589.74 is what percent of 607.25 - 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 607.25 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 607.25, so we can write it down as 100%=607.25.
4. We know, that x% equals 589.74 of the output value, so we can write it down as x%=589.74.
5. Now we have two simple equations:
1) 100%=607.25
2) x%=589.74
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%=607.25/589.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.74 is what percent of 607.25

100%/x%=607.25/589.74
(100/x)*x=(607.25/589.74)*x       - we multiply both sides of the equation by x
100=1.0296910502933*x       - we divide both sides of the equation by (1.0296910502933) to get x
100/1.0296910502933=x
97.116508851379=x
x=97.116508851379

now we have:
589.74 is 97.116508851379% of 607.25