96.46 is what percent of 884.74 - 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 884.74 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 884.74, so we can write it down as 100%=884.74.
4. We know, that x% equals 96.46 of the output value, so we can write it down as x%=96.46.
5. Now we have two simple equations:
1) 100%=884.74
2) x%=96.46
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%=884.74/96.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.46 is what percent of 884.74

100%/x%=884.74/96.46
(100/x)*x=(884.74/96.46)*x       - we multiply both sides of the equation by x
100=9.1720920588845*x       - we divide both sides of the equation by (9.1720920588845) to get x
100/9.1720920588845=x
10.90263806316=x
x=10.90263806316

now we have:
96.46 is 10.90263806316% of 884.74