94.16 is what percent of 1046.25 - 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 1046.25 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 1046.25, so we can write it down as 100%=1046.25.
4. We know, that x% equals 94.16 of the output value, so we can write it down as x%=94.16.
5. Now we have two simple equations:
1) 100%=1046.25
2) x%=94.16
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%=1046.25/94.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.16 is what percent of 1046.25

100%/x%=1046.25/94.16
(100/x)*x=(1046.25/94.16)*x       - we multiply both sides of the equation by x
100=11.111406117247*x       - we divide both sides of the equation by (11.111406117247) to get x
100/11.111406117247=x
8.999761051374=x
x=8.999761051374

now we have:
94.16 is 8.999761051374% of 1046.25