8820.2 is what percent of 11700 - 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 11700 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 11700, so we can write it down as 100%=11700.
4. We know, that x% equals 8820.2 of the output value, so we can write it down as x%=8820.2.
5. Now we have two simple equations:
1) 100%=11700
2) x%=8820.2
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%=11700/8820.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8820.2 is what percent of 11700

100%/x%=11700/8820.2
(100/x)*x=(11700/8820.2)*x       - we multiply both sides of the equation by x
100=1.3265005328677*x       - we divide both sides of the equation by (1.3265005328677) to get x
100/1.3265005328677=x
75.386324786325=x
x=75.386324786325

now we have:
8820.2 is 75.386324786325% of 11700