39.05 is what percent of 104.95 - 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 104.95 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 104.95, so we can write it down as 100%=104.95.
4. We know, that x% equals 39.05 of the output value, so we can write it down as x%=39.05.
5. Now we have two simple equations:
1) 100%=104.95
2) x%=39.05
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%=104.95/39.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.05 is what percent of 104.95

100%/x%=104.95/39.05
(100/x)*x=(104.95/39.05)*x       - we multiply both sides of the equation by x
100=2.6875800256082*x       - we divide both sides of the equation by (2.6875800256082) to get x
100/2.6875800256082=x
37.208194378275=x
x=37.208194378275

now we have:
39.05 is 37.208194378275% of 104.95