924.42 is what percent of 11709 - 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 11709 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 11709, so we can write it down as 100%=11709.
4. We know, that x% equals 924.42 of the output value, so we can write it down as x%=924.42.
5. Now we have two simple equations:
1) 100%=11709
2) x%=924.42
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%=11709/924.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 924.42 is what percent of 11709

100%/x%=11709/924.42
(100/x)*x=(11709/924.42)*x       - we multiply both sides of the equation by x
100=12.666320503667*x       - we divide both sides of the equation by (12.666320503667) to get x
100/12.666320503667=x
7.8949526005637=x
x=7.8949526005637

now we have:
924.42 is 7.8949526005637% of 11709