884.75 is what percent of 1022.66 - 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 1022.66 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 1022.66, so we can write it down as 100%=1022.66.
4. We know, that x% equals 884.75 of the output value, so we can write it down as x%=884.75.
5. Now we have two simple equations:
1) 100%=1022.66
2) x%=884.75
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%=1022.66/884.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 884.75 is what percent of 1022.66

100%/x%=1022.66/884.75
(100/x)*x=(1022.66/884.75)*x       - we multiply both sides of the equation by x
100=1.1558745408307*x       - we divide both sides of the equation by (1.1558745408307) to get x
100/1.1558745408307=x
86.514579625682=x
x=86.514579625682

now we have:
884.75 is 86.514579625682% of 1022.66