What is 97.78 percent of 8800 - 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 8800 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 8800 is 100%, so we can write it down as 8800=100%.
4. We know, that x is 97.78% of the output value, so we can write it down as x=97.78%.
5. Now we have two simple equations:
1) 8800=100%
2) x=97.78%
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:
8800/x=100%/97.78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 97.78% of 8800

8800/x=100/97.78
(8800/x)*x=(100/97.78)*x       - we multiply both sides of the equation by x
8800=1.0227040294539*x       - we divide both sides of the equation by (1.0227040294539) to get x
8800/1.0227040294539=x
8604.64=x
x=8604.64

now we have:
97.78% of 8800=8604.64