589.25 is what percent of 744.35 - 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 744.35 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 744.35, so we can write it down as 100%=744.35.
4. We know, that x% equals 589.25 of the output value, so we can write it down as x%=589.25.
5. Now we have two simple equations:
1) 100%=744.35
2) x%=589.25
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%=744.35/589.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 589.25 is what percent of 744.35

100%/x%=744.35/589.25
(100/x)*x=(744.35/589.25)*x       - we multiply both sides of the equation by x
100=1.263215952482*x       - we divide both sides of the equation by (1.263215952482) to get x
100/1.263215952482=x
79.163028145362=x
x=79.163028145362

now we have:
589.25 is 79.163028145362% of 744.35