1099.78 is what percent of 996 - 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 996 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 996, so we can write it down as 100%=996.
4. We know, that x% equals 1099.78 of the output value, so we can write it down as x%=1099.78.
5. Now we have two simple equations:
1) 100%=996
2) x%=1099.78
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%=996/1099.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1099.78 is what percent of 996

100%/x%=996/1099.78
(100/x)*x=(996/1099.78)*x       - we multiply both sides of the equation by x
100=0.90563567258906*x       - we divide both sides of the equation by (0.90563567258906) to get x
100/0.90563567258906=x
110.41967871486=x
x=110.41967871486

now we have:
1099.78 is 110.41967871486% of 996