10788.23 is what percent of 10 - 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 10 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 10, so we can write it down as 100%=10.
4. We know, that x% equals 10788.23 of the output value, so we can write it down as x%=10788.23.
5. Now we have two simple equations:
1) 100%=10
2) x%=10788.23
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%=10/10788.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10788.23 is what percent of 10

100%/x%=10/10788.23
(100/x)*x=(10/10788.23)*x       - we multiply both sides of the equation by x
100=0.00092693611463604*x       - we divide both sides of the equation by (0.00092693611463604) to get x
100/0.00092693611463604=x
107882.3=x
x=107882.3

now we have:
10788.23 is 107882.3% of 10