304.75 is what percent of 5782.85 - 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 5782.85 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 5782.85, so we can write it down as 100%=5782.85.
4. We know, that x% equals 304.75 of the output value, so we can write it down as x%=304.75.
5. Now we have two simple equations:
1) 100%=5782.85
2) x%=304.75
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%=5782.85/304.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.75 is what percent of 5782.85

100%/x%=5782.85/304.75
(100/x)*x=(5782.85/304.75)*x       - we multiply both sides of the equation by x
100=18.975717801477*x       - we divide both sides of the equation by (18.975717801477) to get x
100/18.975717801477=x
5.2698928728914=x
x=5.2698928728914

now we have:
304.75 is 5.2698928728914% of 5782.85