17005.97 is what percent of 36969.5 - 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 36969.5 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 36969.5, so we can write it down as 100%=36969.5.
4. We know, that x% equals 17005.97 of the output value, so we can write it down as x%=17005.97.
5. Now we have two simple equations:
1) 100%=36969.5
2) x%=17005.97
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%=36969.5/17005.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17005.97 is what percent of 36969.5

100%/x%=36969.5/17005.97
(100/x)*x=(36969.5/17005.97)*x       - we multiply both sides of the equation by x
100=2.1739130434783*x       - we divide both sides of the equation by (2.1739130434783) to get x
100/2.1739130434783=x
46=x
x=46

now we have:
17005.97 is 46% of 36969.5