418.63 is what percent of 28642.75 - 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 28642.75 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 28642.75, so we can write it down as 100%=28642.75.
4. We know, that x% equals 418.63 of the output value, so we can write it down as x%=418.63.
5. Now we have two simple equations:
1) 100%=28642.75
2) x%=418.63
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%=28642.75/418.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.63 is what percent of 28642.75

100%/x%=28642.75/418.63
(100/x)*x=(28642.75/418.63)*x       - we multiply both sides of the equation by x
100=68.420203998758*x       - we divide both sides of the equation by (68.420203998758) to get x
100/68.420203998758=x
1.4615565893638=x
x=1.4615565893638

now we have:
418.63 is 1.4615565893638% of 28642.75