104.75 is what percent of 2785.2 - 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 2785.2 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 2785.2, so we can write it down as 100%=2785.2.
4. We know, that x% equals 104.75 of the output value, so we can write it down as x%=104.75.
5. Now we have two simple equations:
1) 100%=2785.2
2) x%=104.75
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%=2785.2/104.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.75 is what percent of 2785.2

100%/x%=2785.2/104.75
(100/x)*x=(2785.2/104.75)*x       - we multiply both sides of the equation by x
100=26.589021479714*x       - we divide both sides of the equation by (26.589021479714) to get x
100/26.589021479714=x
3.7609507396237=x
x=3.7609507396237

now we have:
104.75 is 3.7609507396237% of 2785.2