17404.2 is what percent of 38955.21 - 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 38955.21 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 38955.21, so we can write it down as 100%=38955.21.
4. We know, that x% equals 17404.2 of the output value, so we can write it down as x%=17404.2.
5. Now we have two simple equations:
1) 100%=38955.21
2) x%=17404.2
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%=38955.21/17404.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17404.2 is what percent of 38955.21

100%/x%=38955.21/17404.2
(100/x)*x=(38955.21/17404.2)*x       - we multiply both sides of the equation by x
100=2.2382649015755*x       - we divide both sides of the equation by (2.2382649015755) to get x
100/2.2382649015755=x
44.677464195418=x
x=44.677464195418

now we have:
17404.2 is 44.677464195418% of 38955.21