5007.66 is what percent of 33992.34 - 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 33992.34 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 33992.34, so we can write it down as 100%=33992.34.
4. We know, that x% equals 5007.66 of the output value, so we can write it down as x%=5007.66.
5. Now we have two simple equations:
1) 100%=33992.34
2) x%=5007.66
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%=33992.34/5007.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5007.66 is what percent of 33992.34

100%/x%=33992.34/5007.66
(100/x)*x=(33992.34/5007.66)*x       - we multiply both sides of the equation by x
100=6.7880686787841*x       - we divide both sides of the equation by (6.7880686787841) to get x
100/6.7880686787841=x
14.731730736984=x
x=14.731730736984

now we have:
5007.66 is 14.731730736984% of 33992.34