884.2 is what percent of 1100 - 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 1100 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 1100, so we can write it down as 100%=1100.
4. We know, that x% equals 884.2 of the output value, so we can write it down as x%=884.2.
5. Now we have two simple equations:
1) 100%=1100
2) x%=884.2
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%=1100/884.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 884.2 is what percent of 1100

100%/x%=1100/884.2
(100/x)*x=(1100/884.2)*x       - we multiply both sides of the equation by x
100=1.2440624293146*x       - we divide both sides of the equation by (1.2440624293146) to get x
100/1.2440624293146=x
80.381818181818=x
x=80.381818181818

now we have:
884.2 is 80.381818181818% of 1100