287.25 is what percent of 6002.9 - 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 6002.9 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 6002.9, so we can write it down as 100%=6002.9.
4. We know, that x% equals 287.25 of the output value, so we can write it down as x%=287.25.
5. Now we have two simple equations:
1) 100%=6002.9
2) x%=287.25
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%=6002.9/287.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.25 is what percent of 6002.9

100%/x%=6002.9/287.25
(100/x)*x=(6002.9/287.25)*x       - we multiply both sides of the equation by x
100=20.897824194952*x       - we divide both sides of the equation by (20.897824194952) to get x
100/20.897824194952=x
4.7851871595396=x
x=4.7851871595396

now we have:
287.25 is 4.7851871595396% of 6002.9