468.84 is what percent of 1016.32 - 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 1016.32 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 1016.32, so we can write it down as 100%=1016.32.
4. We know, that x% equals 468.84 of the output value, so we can write it down as x%=468.84.
5. Now we have two simple equations:
1) 100%=1016.32
2) x%=468.84
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%=1016.32/468.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.84 is what percent of 1016.32

100%/x%=1016.32/468.84
(100/x)*x=(1016.32/468.84)*x       - we multiply both sides of the equation by x
100=2.1677331285726*x       - we divide both sides of the equation by (2.1677331285726) to get x
100/2.1677331285726=x
46.131139798489=x
x=46.131139798489

now we have:
468.84 is 46.131139798489% of 1016.32