1091.48 is what percent of 1099 - 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 1099 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 1099, so we can write it down as 100%=1099.
4. We know, that x% equals 1091.48 of the output value, so we can write it down as x%=1091.48.
5. Now we have two simple equations:
1) 100%=1099
2) x%=1091.48
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%=1099/1091.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1091.48 is what percent of 1099

100%/x%=1099/1091.48
(100/x)*x=(1099/1091.48)*x       - we multiply both sides of the equation by x
100=1.0068897277092*x       - we divide both sides of the equation by (1.0068897277092) to get x
100/1.0068897277092=x
99.315741583258=x
x=99.315741583258

now we have:
1091.48 is 99.315741583258% of 1099