1002.51 is what percent of 4578.42 - 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 4578.42 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 4578.42, so we can write it down as 100%=4578.42.
4. We know, that x% equals 1002.51 of the output value, so we can write it down as x%=1002.51.
5. Now we have two simple equations:
1) 100%=4578.42
2) x%=1002.51
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%=4578.42/1002.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.51 is what percent of 4578.42

100%/x%=4578.42/1002.51
(100/x)*x=(4578.42/1002.51)*x       - we multiply both sides of the equation by x
100=4.5669569380854*x       - we divide both sides of the equation by (4.5669569380854) to get x
100/4.5669569380854=x
21.896418415086=x
x=21.896418415086

now we have:
1002.51 is 21.896418415086% of 4578.42