11665.23 is what percent of 13000 - 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 13000 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 13000, so we can write it down as 100%=13000.
4. We know, that x% equals 11665.23 of the output value, so we can write it down as x%=11665.23.
5. Now we have two simple equations:
1) 100%=13000
2) x%=11665.23
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%=13000/11665.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11665.23 is what percent of 13000

100%/x%=13000/11665.23
(100/x)*x=(13000/11665.23)*x       - we multiply both sides of the equation by x
100=1.1144229475115*x       - we divide both sides of the equation by (1.1144229475115) to get x
100/1.1144229475115=x
89.732538461538=x
x=89.732538461538

now we have:
11665.23 is 89.732538461538% of 13000