16869.25 is what percent of 122575.25 - 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 122575.25 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 122575.25, so we can write it down as 100%=122575.25.
4. We know, that x% equals 16869.25 of the output value, so we can write it down as x%=16869.25.
5. Now we have two simple equations:
1) 100%=122575.25
2) x%=16869.25
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%=122575.25/16869.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16869.25 is what percent of 122575.25

100%/x%=122575.25/16869.25
(100/x)*x=(122575.25/16869.25)*x       - we multiply both sides of the equation by x
100=7.2661944069831*x       - we divide both sides of the equation by (7.2661944069831) to get x
100/7.2661944069831=x
13.762362303972=x
x=13.762362303972

now we have:
16869.25 is 13.762362303972% of 122575.25