598.21 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 598.21 of the output value, so we can write it down as x%=598.21.
5. Now we have two simple equations:
1) 100%=3000
2) x%=598.21
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%=3000/598.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 598.21 is what percent of 3000

100%/x%=3000/598.21
(100/x)*x=(3000/598.21)*x       - we multiply both sides of the equation by x
100=5.0149613012153*x       - we divide both sides of the equation by (5.0149613012153) to get x
100/5.0149613012153=x
19.940333333333=x
x=19.940333333333

now we have:
598.21 is 19.940333333333% of 3000