465.2 is what percent of 2602.8 - 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 2602.8 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 2602.8, so we can write it down as 100%=2602.8.
4. We know, that x% equals 465.2 of the output value, so we can write it down as x%=465.2.
5. Now we have two simple equations:
1) 100%=2602.8
2) x%=465.2
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%=2602.8/465.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.2 is what percent of 2602.8

100%/x%=2602.8/465.2
(100/x)*x=(2602.8/465.2)*x       - we multiply both sides of the equation by x
100=5.5950128976784*x       - we divide both sides of the equation by (5.5950128976784) to get x
100/5.5950128976784=x
17.873059781773=x
x=17.873059781773

now we have:
465.2 is 17.873059781773% of 2602.8