598.4 is what percent of 3392 - 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 3392 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 3392, so we can write it down as 100%=3392.
4. We know, that x% equals 598.4 of the output value, so we can write it down as x%=598.4.
5. Now we have two simple equations:
1) 100%=3392
2) x%=598.4
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%=3392/598.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 598.4 is what percent of 3392

100%/x%=3392/598.4
(100/x)*x=(3392/598.4)*x       - we multiply both sides of the equation by x
100=5.668449197861*x       - we divide both sides of the equation by (5.668449197861) to get x
100/5.668449197861=x
17.641509433962=x
x=17.641509433962

now we have:
598.4 is 17.641509433962% of 3392