598.28 is what percent of 3437.5 - 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 3437.5 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 3437.5, so we can write it down as 100%=3437.5.
4. We know, that x% equals 598.28 of the output value, so we can write it down as x%=598.28.
5. Now we have two simple equations:
1) 100%=3437.5
2) x%=598.28
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%=3437.5/598.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 598.28 is what percent of 3437.5

100%/x%=3437.5/598.28
(100/x)*x=(3437.5/598.28)*x       - we multiply both sides of the equation by x
100=5.7456374941499*x       - we divide both sides of the equation by (5.7456374941499) to get x
100/5.7456374941499=x
17.404509090909=x
x=17.404509090909

now we have:
598.28 is 17.404509090909% of 3437.5