17.08 is what percent of 38.12 - 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 38.12 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 38.12, so we can write it down as 100%=38.12.
4. We know, that x% equals 17.08 of the output value, so we can write it down as x%=17.08.
5. Now we have two simple equations:
1) 100%=38.12
2) x%=17.08
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%=38.12/17.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.08 is what percent of 38.12

100%/x%=38.12/17.08
(100/x)*x=(38.12/17.08)*x       - we multiply both sides of the equation by x
100=2.231850117096*x       - we divide both sides of the equation by (2.231850117096) to get x
100/2.231850117096=x
44.805876180483=x
x=44.805876180483

now we have:
17.08 is 44.805876180483% of 38.12